Journal of Topology最新文献_第2页

Structure of quasiconvex virtual joins 拟凸虚连接的结构

IF 0.8 2区数学

Journal of Topology Pub Date : 2025-04-04 DOI: 10.1112/topo.70021

Lawk Mineh

{"title":"Structure of quasiconvex virtual joins","authors":"Lawk Mineh","doi":"10.1112/topo.70021","DOIUrl":"https://doi.org/10.1112/topo.70021","url":null,"abstract":"Let <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math> be a relatively hyperbolic group and let <math>\u0000 <semantics>\u0000 <mi>Q</mi>\u0000 <annotation>$Q$</annotation>\u0000 </semantics></math> and <math>\u0000 <semantics>\u0000 <mi>R</mi>\u0000 <annotation>$R$</annotation>\u0000 </semantics></math> be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mi>Q</mi>\u0000 <mo>′</mo>\u0000 </msup>\u0000 <msub>\u0000 <mo>⩽</mo>\u0000 <mi>f</mi>\u0000 </msub>\u0000 <mi>Q</mi>\u0000 </mrow>\u0000 <annotation>$Q^{prime } leqslant _f Q$</annotation>\u0000 </semantics></math> and <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msup>\u0000 <mi>R</mi>\u0000 <mo>′</mo>\u0000 </msup>\u0000 <msub>\u0000 <mo>⩽</mo>\u0000 <mi>f</mi>\u0000 </msub>\u0000 <mi>R</mi>\u0000 </mrow>\u0000 <annotation>$R^{prime } leqslant _f R$</annotation>\u0000 </semantics></math> such that the subgroup join <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>⟨</mo>\u0000 <msup>\u0000 <mi>Q</mi>\u0000 <mo>′</mo>\u0000 </msup>\u0000 <mo>,</mo>\u0000 <msup>\u0000 <mi>R</mi>\u0000 <mo>′</mo>\u0000 </msup>\u0000 <mo>⟩</mo>\u0000 </mrow>\u0000 <annotation>$langle Q^{prime }, R^{prime } rangle$</annotation>\u0000 </semantics></math> is also relatively quasiconvex, given suitable assumptions on the profinite topology of <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math>. We show that the intersections of such joins with maximal parabolic subgroups of <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math> are themselves joins of intersections of the factor subgroups <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Q</mi>\u0000 <mo>′</mo>\u0000 </msup>\u0000 <annotation>$Q^{prime }$</annotation>\u0000 </semantics></mat","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"18 2","pages":""},"PeriodicalIF":0.8,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/topo.70021","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143778397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A classification of infinite staircases for Hirzebruch surfaces Hirzebruch曲面无限阶梯的分类

IF 0.8 2区数学

Journal of Topology Pub Date : 2025-03-08 DOI: 10.1112/topo.70017

Nicki Magill, Ana Rita Pires, Morgan Weiler

{"title":"A classification of infinite staircases for Hirzebruch surfaces","authors":"Nicki Magill, Ana Rita Pires, Morgan Weiler","doi":"10.1112/topo.70017","DOIUrl":"https://doi.org/10.1112/topo.70017","url":null,"abstract":"The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four-ball (or equivalently, the complex projective plane) by McDuff and Schlenk, and found to contain the unexpected structure of an “infinite staircase,” that is, an infinite sequence of nonsmooth points arranged in a piecewise linear stair-step pattern. Later work of Usher and Cristofaro-Gardiner–Holm–Mandini–Pires suggested that while four-dimensional symplectic toric manifolds with infinite staircases are plentiful, they are highly nongeneric. This paper concludes the systematic study of one-point blowups of the complex projective plane, building on previous work of Bertozzi-Holm-Maw-McDuff-Mwakyoma-Pires-Weiler, Magill-McDuff, Magill-McDuff-Weiler, and Magill on these Hirzebruch surfaces. We prove a conjecture of Cristofaro-Gardiner–Holm–Mandini–Pires for this family: that if the blowup is of rational weight and the embedding function has an infinite staircase then that weight must be <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mn>1</mn>\u0000 <mo>/</mo>\u0000 <mn>3</mn>\u0000 </mrow>\u0000 <annotation>$1/3$</annotation>\u0000 </semantics></math>. We show also that the function for this manifold does not have a descending staircase. Furthermore, we give a sufficient and necessary condition for the existence of an infinite staircase in this family which boils down to solving a quadratic equation and computing the function at one specific value. Many of our intermediate results also apply to the case of the polydisk (or equivalently, the symplectic product of two spheres).","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"18 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/topo.70017","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143581764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On the parameterized Tate construction 关于参数化的Tate构造

IF 0.8 2区数学

Journal of Topology Pub Date : 2025-03-06 DOI: 10.1112/topo.70018

J. D. Quigley, Jay Shah

{"title":"On the parameterized Tate construction","authors":"J. D. Quigley, Jay Shah","doi":"10.1112/topo.70018","DOIUrl":"https://doi.org/10.1112/topo.70018","url":null,"abstract":"We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension <math>\u0000 <semantics>\u0000 <mover>\u0000 <mi>G</mi>\u0000 <mo>̂</mo>\u0000 </mover>\u0000 <annotation>$widehat{G}$</annotation>\u0000 </semantics></math> of a finite group <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math> by a compact Lie group <math>\u0000 <semantics>\u0000 <mi>K</mi>\u0000 <annotation>$K$</annotation>\u0000 </semantics></math>, which we call the parameterized Tate construction <math>\u0000 <semantics>\u0000 <msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mo>−</mo>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mrow>\u0000 <msub>\u0000 <mi>t</mi>\u0000 <mi>G</mi>\u0000 </msub>\u0000 <mi>K</mi>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$(-)^{t_G K}$</annotation>\u0000 </semantics></math>. Our main theorem establishes the coincidence of three conceptually distinct approaches to its construction when <math>\u0000 <semantics>\u0000 <mi>K</mi>\u0000 <annotation>$K$</annotation>\u0000 </semantics></math> is also finite: one via recollement theory for the <math>\u0000 <semantics>\u0000 <mi>K</mi>\u0000 <annotation>$K$</annotation>\u0000 </semantics></math>-free <math>\u0000 <semantics>\u0000 <mover>\u0000 <mi>G</mi>\u0000 <mo>̂</mo>\u0000 </mover>\u0000 <annotation>$widehat{G}$</annotation>\u0000 </semantics></math>-family, another via parameterized ambidexterity for <math>\u0000 <semantics>\u0000 <mi>G</mi>\u0000 <annotation>$G$</annotation>\u0000 </semantics></math>-local systems, and the last via parameterized assembly maps. We also show that <math>\u0000 <semantics>\u0000 <msup>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mo>−</mo>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mrow>\u0000 <msub>\u0000 <mi>t</mi>\u0000 <mi>G</mi>\u0000 </msub>\u0000 <mi>K</mi>\u0000 </mrow>\u0000 </msup>\u0000 <annotation>$(-)^{t_G K}$</annotation>\u0000 </semantics></math> uniquely admits the structure o","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"18 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/topo.70018","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143564680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The Mumford conjecture (after Bianchi) 芒福德猜想（以比安奇命名）

IF 0.8 2区数学

Journal of Topology Pub Date : 2025-03-01 DOI: 10.1112/topo.70016

Ronno Das, Dan Petersen

引用次数: 0

On the slice spectral sequence for quotients of norms of Real bordism 实数矩阵范数商的切片谱序列

IF 0.8 2区数学

Journal of Topology Pub Date : 2025-02-28 DOI: 10.1112/topo.70015

Agnès Beaudry, Michael A. Hill, Tyler Lawson, XiaoLin Danny Shi, Mingcong Zeng

{"title":"On the slice spectral sequence for quotients of norms of Real bordism","authors":"Agnès Beaudry, Michael A. Hill, Tyler Lawson, XiaoLin Danny Shi, Mingcong Zeng","doi":"10.1112/topo.70015","DOIUrl":"https://doi.org/10.1112/topo.70015","url":null,"abstract":"In this paper, we investigate equivariant quotients of the Real bordism spectrum's multiplicative norm <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>M</mi>\u0000 <msup>\u0000 <mi>U</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mspace></mspace>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msub>\u0000 <mi>C</mi>\u0000 <msup>\u0000 <mn>2</mn>\u0000 <mi>n</mi>\u0000 </msup>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mspace></mspace>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$MU^{(!(C_{2^n})!)}$</annotation>\u0000 </semantics></math> by permutation summands. These quotients are of interest because of their close relationship with higher real <math>\u0000 <semantics>\u0000 <mi>K</mi>\u0000 <annotation>$K$</annotation>\u0000 </semantics></math>-theories. We introduce new techniques for computing the equivariant homotopy groups of such quotients. As a new example, we examine the theories <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>B</mi>\u0000 <msup>\u0000 <mi>P</mi>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mspace></mspace>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <msub>\u0000 <mi>C</mi>\u0000 <msup>\u0000 <mn>2</mn>\u0000 <mi>n</mi>\u0000 </msup>\u0000 </msub>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <mspace></mspace>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </msup>\u0000 <mrow>\u0000 <mo>⟨</mo>\u0000 <mi>m</mi>\u0000 <mo>,</mo>\u0000 <mi>m</mi>\u0000 <mo>⟩</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$BP^{(!(C_{2^n})!)}langle m,mrangle$</annotation>\u0000 </semantics></math>. These spectra serve as natural equivariant generalizations of connective integral Morava <math>\u0000 <semantics>\u0000 <mi>K</mi>\u0000 <annotation>$K$</annotation>\u0000 </semantics></math>-theories. We provide a complete computation of the <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>a</mi>\u0000 <mi>σ</mi>\u0000 </msub","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"18 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Groups with exotic finiteness properties from complex Morse theory 复莫尔斯理论中奇异有限性质群

IF 0.8 2区数学

Journal of Topology Pub Date : 2025-02-28 DOI: 10.1112/topo.70013

Claudio Llosa Isenrich, Pierre Py

{"title":"Groups with exotic finiteness properties from complex Morse theory","authors":"Claudio Llosa Isenrich, Pierre Py","doi":"10.1112/topo.70013","DOIUrl":"https://doi.org/10.1112/topo.70013","url":null,"abstract":"Recent constructions have shown that interesting behaviours can be observed in the finiteness properties of Kähler groups and their subgroups. In this work, we push this further and exhibit, for each integer <math>\u0000 <semantics>\u0000 <mi>k</mi>\u0000 <annotation>$k$</annotation>\u0000 </semantics></math>, new hyperbolic groups admitting surjective homomorphisms to <math>\u0000 <semantics>\u0000 <mi>Z</mi>\u0000 <annotation>${mathbb {Z}}$</annotation>\u0000 </semantics></math> and to <math>\u0000 <semantics>\u0000 <msup>\u0000 <mi>Z</mi>\u0000 <mn>2</mn>\u0000 </msup>\u0000 <annotation>${mathbb {Z}}^{2}$</annotation>\u0000 </semantics></math>, whose kernel is of type <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>F</mi>\u0000 <mi>k</mi>\u0000 </msub>\u0000 <annotation>$mathcal {F}_{k}$</annotation>\u0000 </semantics></math> but not of type <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>F</mi>\u0000 <mrow>\u0000 <mi>k</mi>\u0000 <mo>+</mo>\u0000 <mn>1</mn>\u0000 </mrow>\u0000 </msub>\u0000 <annotation>$mathcal {F}_{k+1}$</annotation>\u0000 </semantics></math>. By a fibre product construction, we also find examples of non-normal subgroups of Kähler groups with exotic finiteness properties.","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"18 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/topo.70013","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143513792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Milnor fiber consistency via flatness 通过平整度提高纤维的稠度

IF 0.8 2区数学

Journal of Topology Pub Date : 2025-02-28 DOI: 10.1112/topo.70014

Alex Hof

引用次数: 0

Homological mirror symmetry for functors between Fukaya categories of very affine hypersurfaces 非常仿射超曲面的Fukaya范畴间函子的同调镜像对称

IF 0.8 2区数学

Journal of Topology Pub Date : 2024-12-31 DOI: 10.1112/topo.70012

Benjamin Gammage, Maxim Jeffs

引用次数: 0

Neck-pinching of C P 1 $mathbb {C}{rm P}^1$ -structures in the PSL 2 C ${rm PSL}_2mathbb {C}$ -character variety PSLⅱC特征变化中c1 -结构的掐颈。

IF 0.8 2区数学

Journal of Topology Pub Date : 2024-12-30 DOI: 10.1112/topo.70010

Shinpei Baba

{"title":"Neck-pinching of \u0000 \u0000 \u0000 C\u0000 \u0000 P\u0000 1\u0000 \u0000 \u0000 $mathbb {C}{rm P}^1$\u0000 -structures in the \u0000 \u0000 \u0000 \u0000 PSL\u0000 2\u0000 \u0000 C\u0000 \u0000 ${rm PSL}_2mathbb {C}$\u0000 -character variety","authors":"Shinpei Baba","doi":"10.1112/topo.70010","DOIUrl":"10.1112/topo.70010","url":null,"abstract":"We characterize a certain neck-pinching degeneration of (marked) <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>C</mi>\u0000 <msup>\u0000 <mi>P</mi>\u0000 <mn>1</mn>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$mathbb {C}{rm P}^1$</annotation>\u0000 </semantics></math>-structures on a closed oriented surface <math>\u0000 <semantics>\u0000 <mi>S</mi>\u0000 <annotation>$S$</annotation>\u0000 </semantics></math> of genus at least two. In a more general setting, we take a path of <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>C</mi>\u0000 <msup>\u0000 <mi>P</mi>\u0000 <mn>1</mn>\u0000 </msup>\u0000 </mrow>\u0000 <annotation>$mathbb {C}{rm P}^1$</annotation>\u0000 </semantics></math>-structures <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>C</mi>\u0000 <mi>t</mi>\u0000 </msub>\u0000 <mspace></mspace>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>t</mi>\u0000 <mo>⩾</mo>\u0000 <mn>0</mn>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$C_t nobreakspace (t geqslant 0)$</annotation>\u0000 </semantics></math> on <math>\u0000 <semantics>\u0000 <mi>S</mi>\u0000 <annotation>$S$</annotation>\u0000 </semantics></math> that leaves every compact subset in its deformation space, such that the holonomy of <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>C</mi>\u0000 <mi>t</mi>\u0000 </msub>\u0000 <annotation>$C_t$</annotation>\u0000 </semantics></math> converges in the <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>PSL</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <mi>C</mi>\u0000 </mrow>\u0000 <annotation>${rm PSL}_2mathbb {C}$</annotation>\u0000 </semantics></math>-character variety as <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>t</mi>\u0000 <mo>→</mo>\u0000 <mi>∞</mi>\u0000 </mrow>\u0000 <annotation>$t rightarrow infty$</annotation>\u0000 </semantics></math>. Then, it is well known that the complex structure <math>\u0000 <semantics>\u0000 <msub>\u0000 <mi>X</m","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"18 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC11685183/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142916395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Monopoles and Landau–Ginzburg models III: A gluing theorem 单极子和朗道-金兹堡模型III：一个胶合定理

IF 0.8 2区数学

Journal of Topology Pub Date : 2024-12-27 DOI: 10.1112/topo.12360

Donghao Wang

{"title":"Monopoles and Landau–Ginzburg models III: A gluing theorem","authors":"Donghao Wang","doi":"10.1112/topo.12360","DOIUrl":"https://doi.org/10.1112/topo.12360","url":null,"abstract":"This is the third paper of this series. In Wang [Monopoles and Landau-Ginzburg models II: Floer homology. arXiv:2005.04333, 2020], we defined the monopole Floer homology for any pair <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>Y</mi>\u0000 <mo>,</mo>\u0000 <mi>ω</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 <annotation>$(Y,omega)$</annotation>\u0000 </semantics></math>, where <math>\u0000 <semantics>\u0000 <mi>Y</mi>\u0000 <annotation>$Y$</annotation>\u0000 </semantics></math> is a compact oriented 3-manifold with toroidal boundary and <math>\u0000 <semantics>\u0000 <mi>ω</mi>\u0000 <annotation>$omega$</annotation>\u0000 </semantics></math> is a suitable closed 2-form viewed as a decoration. In this paper, we establish a gluing theorem for this Floer homology when two such 3-manifolds are glued suitably along their common boundary, assuming that <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>∂</mi>\u0000 <mi>Y</mi>\u0000 </mrow>\u0000 <annotation>$partial Y$</annotation>\u0000 </semantics></math> is disconnected, and <math>\u0000 <semantics>\u0000 <mi>ω</mi>\u0000 <annotation>$omega$</annotation>\u0000 </semantics></math> is small and yet non-vanishing on <math>\u0000 <semantics>\u0000 <mrow>\u0000 <mi>∂</mi>\u0000 <mi>Y</mi>\u0000 </mrow>\u0000 <annotation>$partial Y$</annotation>\u0000 </semantics></math>. As applications, we construct a monopole Floer 2-functor and the generalized cobordism maps. Using results of Kronheimer–Mrowka and Ni, it is shown that for any such 3-manifold <math>\u0000 <semantics>\u0000 <mi>Y</mi>\u0000 <annotation>$Y$</annotation>\u0000 </semantics></math> that is irreducible, this Floer homology detects the Thurston norm on <math>\u0000 <semantics>\u0000 <mrow>\u0000 <msub>\u0000 <mi>H</mi>\u0000 <mn>2</mn>\u0000 </msub>\u0000 <mrow>\u0000 <mo>(</mo>\u0000 <mi>Y</mi>\u0000 <mo>,</mo>\u0000 <mi>∂</mi>\u0000 <mi>Y</mi>\u0000 <mo>;</mo>\u0000 <mi>R</mi>\u0000 <mo>)</mo>\u0000 </mrow>\u0000 </mrow>\u0000 <annotation>$H_2(Y,partial Y;mathbb {R})$</annotation>\u0000 </semantics></math> and the fiberness of <math>\u0000 <semantics>\u0000 <mi>Y</mi>\u0000 <annotation>$Y$</annotation>\u0000 </semantics></math>. Finally, we show that our construction recovers the monopole link Floer homology f","PeriodicalId":56114,"journal":{"name":"Journal of Topology","volume":"18 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143119998","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0