发布求助
文献互助 智能选刊 最新文献

Geometry & Topology最新文献

筛选
英文 中文
Prime-localized Weinstein subdomains 素定域的Weinstein子域
Geometry & Topology Pub Date : 2020-09-20 DOI: 10.2140/gt.2023.27.699
Oleg Lazarev, Zachary Sylvan
{"title":"Prime-localized Weinstein subdomains","authors":"Oleg Lazarev, Zachary Sylvan","doi":"10.2140/gt.2023.27.699","DOIUrl":"https://doi.org/10.2140/gt.2023.27.699","url":null,"abstract":"For any high-dimensional Weinstein domain and finite collection of primes, we construct a Weinstein subdomain whose wrapped Fukaya category is a localization of the original wrapped Fukaya category away from the given primes. When the original domain is a cotangent bundle, these subdomains form a decreasing lattice whose order cannot be reversed. \u0000Furthermore, we classify the possible wrapped Fukaya categories of Weinstein subdomains of a cotangent bundle of a simply connected, spin manifold, showing that they all coincide with one of these prime localizations. In the process, we describe which twisted complexes in the wrapped Fukaya category of a cotangent bundle of a sphere are isomorphic to genuine Lagrangians.","PeriodicalId":254292,"journal":{"name":"Geometry & Topology","volume":"152 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128865695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Combinatorial Ricci flows and the hyperbolizationof a class of compact 3–manifolds 组合Ricci流和一类紧3流形的夸张化
Geometry & Topology Pub Date : 2020-09-08 DOI: 10.2140/gt.2022.26.1349
Ke Feng, Huabin Ge, B. Hua
{"title":"Combinatorial Ricci flows and the hyperbolization\u0000of a class of compact 3–manifolds","authors":"Ke Feng, Huabin Ge, B. Hua","doi":"10.2140/gt.2022.26.1349","DOIUrl":"https://doi.org/10.2140/gt.2022.26.1349","url":null,"abstract":"We prove that for a compact 3-manifold M with boundary admitting an ideal triangulation T with valence at least 10 at all edges, there exists a unique complete hyperbolic metric with totally geodesic boundary, so that T is isotopic to a geometric decomposition of M. Our approach is to use a variant of the combinatorial Ricci flow introduced by Luo [Luo05] for pseudo 3-manifolds. In this case, we prove that the extended Ricci flow converges to the hyperbolic metric exponentially fast.","PeriodicalId":254292,"journal":{"name":"Geometry & Topology","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131193924","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
On dense totipotent free subgroups in full groups 关于满群中的密集全能自由子群
Geometry & Topology Pub Date : 2020-09-07 DOI: 10.2140/gt.2023.27.2297
A. Carderi, D. Gaboriau, F. L. Maitre
{"title":"On dense totipotent free subgroups in full groups","authors":"A. Carderi, D. Gaboriau, F. L. Maitre","doi":"10.2140/gt.2023.27.2297","DOIUrl":"https://doi.org/10.2140/gt.2023.27.2297","url":null,"abstract":"We study probability measure preserving (p.m.p.) non-free actions of free groups and the associated IRS's. The perfect kernel of a countable group Γ is the largest closed subspace of the space of subgroups of Γ without isolated points. We introduce the class of totipotent ergodic p.m.p. actions of Γ: those for which almost every point-stabilizer has dense conjugacy class in the perfect kernel. Equivalently, the support of the associated IRS is as large as possible, namely it is equal to the whole perfect kernel. We prove that every ergodic p.m.p. equivalence relation R of cost < r can be realized by the orbits of an action of the free group F r on r generators that is totipotent and such that the image in the full group [R] is dense. We explain why these actions have no minimal models. This also provides a continuum of pairwise orbit inequivalent invariant random subgroups of F r , all of whose supports are equal to the whole space of infinite index subgroups. We are led to introduce a property of topologically generating pairs for full groups (we call evanescence) and establish a genericity result about their existence. We show that their existence characterizes cost 1.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"248 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132474973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Tropical ψ classes 热带ψ类
Geometry &amp; Topology Pub Date : 2020-09-01 DOI: 10.2140/gt.2022.26.3421
R. Cavalieri, Andreas Gross, H. Markwig
{"title":"Tropical ψ classes","authors":"R. Cavalieri, Andreas Gross, H. Markwig","doi":"10.2140/gt.2022.26.3421","DOIUrl":"https://doi.org/10.2140/gt.2022.26.3421","url":null,"abstract":"We introduce a tropical geometric framework that allows us to define $psi$ classes for moduli spaces of tropical curves of arbitrary genus. We prove correspondence theorems between algebraic and tropical $psi$ classes for some one-dimensional families of genus-one tropical curves.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121636507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves 投影空间中两条曲线空间的光滑紧化:通过对数几何和Gorenstein曲线
Geometry &amp; Topology Pub Date : 2020-08-31 DOI: 10.2140/gt.2023.27.1203
L. Battistella, Francesca Carocci
{"title":"A smooth compactification of the space of genus two curves in projective space: via logarithmic geometry and Gorenstein curves","authors":"L. Battistella, Francesca Carocci","doi":"10.2140/gt.2023.27.1203","DOIUrl":"https://doi.org/10.2140/gt.2023.27.1203","url":null,"abstract":"We construct a modular desingularisation of $overline{mathcal{M}}_{2,n}(mathbb{P}^r,d)^{text{main}}$. The geometry of Gorenstein singularities of genus two leads us to consider maps from prestable admissible covers: with this enhanced logarithmic structure, it is possible to desingularise the main component by means of a logarithmic modification. Both isolated and non-reduced singularities appear naturally. Our construction gives rise to a notion of reduced Gromov-Witten invariants in genus two.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121808602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Discrete subgroups of small critical exponent 小临界指数的离散子群
Geometry &amp; Topology Pub Date : 2020-08-27 DOI: 10.2140/gt.2023.27.2347
Beibei Liu, Shi Wang
{"title":"Discrete subgroups of small critical exponent","authors":"Beibei Liu, Shi Wang","doi":"10.2140/gt.2023.27.2347","DOIUrl":"https://doi.org/10.2140/gt.2023.27.2347","url":null,"abstract":"We prove that finitely generated higher dimensional Kleinian groups with small critical exponent are always convex-cocompact. Along the way, we also prove some geometric properties for any complete pinched negatively curved manifold with critical exponent less than 1.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"183 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134304115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Tautological classes of definite4–manifolds 定义流形的同义类
Geometry &amp; Topology Pub Date : 2020-08-11 DOI: 10.2140/gt.2023.27.641
David Baraglia
{"title":"Tautological classes of definite\u00004–manifolds","authors":"David Baraglia","doi":"10.2140/gt.2023.27.641","DOIUrl":"https://doi.org/10.2140/gt.2023.27.641","url":null,"abstract":"We prove a diagonalisation theorem for the tautological, or generalised Miller-Morita-Mumford classes of compact, smooth, simply-connected definite $4$-manifolds. Our result can be thought of as a families version of Donaldson's diagonalisation theorem. We prove our result using a families version of the Bauer-Furuta cohomotopy refinement of Seiberg-Witten theory. We use our main result to deduce various results concerning the tautological classes of such $4$-manifolds. In particular, we completely determine the tautological rings of $mathbb{CP}^2$ and $mathbb{CP}^2 # mathbb{CP}^2$. We also derive a series of linear relations in the tautological ring which are universal in the sense that they hold for all compact, smooth, simply-connected definite $4$-manifolds.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134464597","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
The higher-dimensional tropical vertex 高维热带顶点
Geometry &amp; Topology Pub Date : 2020-07-16 DOI: 10.2140/gt.2022.26.2135
Hulya Arguz, M. Gross
{"title":"The higher-dimensional tropical vertex","authors":"Hulya Arguz, M. Gross","doi":"10.2140/gt.2022.26.2135","DOIUrl":"https://doi.org/10.2140/gt.2022.26.2135","url":null,"abstract":"We study log Calabi-Yau varieties obtained as a blow-up of a toric variety along hypersurfaces in its toric boundary. Mirrors to such varieties are constructed by Gross-Siebert from a canonical scattering diagram built by using punctured log Gromov-Witten invariants of Abramovich-Chen-Gross-Siebert. We show that there is a piecewise linear isomorphism between the canonical scattering diagram and a scattering diagram defined algortihmically, following a higher dimensional generalisation of the Kontsevich-Soibelman construction. We deduce that the punctured log Gromov-Witten invariants of the log Calabi-Yau variety can be captured from this algorithmic construction. As a particular example, we compute these invariants for a non-toric blow-up of the three dimensional projective space along two lines. This generalizes previous results of Gross-Pandharipande-Siebert on \"The Tropical Vertex\" to higher dimensions.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128574647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
Legendrian weaves : N–graph calculus, flagmoduli and applications Legendrian编织:n图演算，旗模及其应用
Geometry &amp; Topology Pub Date : 2020-07-09 DOI: 10.2140/gt.2022.26.3589
Roger Casals, E. Zaslow
{"title":"Legendrian weaves : N–graph calculus, flag\u0000moduli and applications","authors":"Roger Casals, E. Zaslow","doi":"10.2140/gt.2022.26.3589","DOIUrl":"https://doi.org/10.2140/gt.2022.26.3589","url":null,"abstract":"We study a class of Legendrian surfaces in contact five-folds by encoding their wavefronts via planar combinatorial structures. We refer to these surfaces as Legendrian weaves, and to the combinatorial objects as N-graphs. First, we develop a diagrammatic calculus which encodes contact geometric operations on Legendrian surfaces as multi-colored planar combinatorics. Second, we present an algebraic-geometric characterization for the moduli space of microlocal constructible sheaves associated to these Legendrian surfaces. Then we use these N-graphs and the flag moduli description of these Legendrian invariants for several new applications to contact and symplectic topology. \u0000Applications include showing that any finite group can be realized as a subfactor of a 3-dimensional Lagrangian concordance monoid for a Legendrian surface in the 1-jet space of the two-sphere, a new construction of infinitely many exact Lagrangian fillings for Legendrian links in the standard contact three-sphere, and performing rational point counts over finite fields that distinguish Legendrian surfaces in the standard five-dimensional Darboux chart. In addition, the manuscript develops the notion of Legendrian mutation, studying microlocal monodromies and their transformations. The appendix illustrates the connection between our N-graph calculus for Lagrangian cobordisms and Elias-Khovanov-Williamson's Soergel Calculus.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"600 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123151170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 25
The structure of submetries 子元素的结构
Geometry &amp; Topology Pub Date : 2020-07-02 DOI: 10.2140/gt.2022.26.2649
V. Kapovitch, A. Lytchak
{"title":"The structure of submetries","authors":"V. Kapovitch, A. Lytchak","doi":"10.2140/gt.2022.26.2649","DOIUrl":"https://doi.org/10.2140/gt.2022.26.2649","url":null,"abstract":"We investigate the geometric and topological structure of equidistant decompositions of Riemannian manifolds.","PeriodicalId":254292,"journal":{"name":"Geometry &amp; Topology","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116095086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信