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
(ℝℙ2n−1,ξstd) is not exactly fillable forn≠2k (f²n−1，ξstd)不是完全可填充的形式≠2k
IF 2 1区 数学
Geometry & Topology Pub Date : 2020-01-27 DOI: 10.2140/gt.2021.25.3013
Zheng Zhou
{"title":"(ℝℙ2n−1,ξstd) is not exactly fillable for\u0000n≠2k","authors":"Zheng Zhou","doi":"10.2140/gt.2021.25.3013","DOIUrl":"https://doi.org/10.2140/gt.2021.25.3013","url":null,"abstract":"We prove that $(mathbb{RP}^{2n-1},xi_{std})$ is not exactly fillable for any $nne 2^k$ and there exist strongly fillable but not exactly fillable contact manifolds for all dimension $ge 5$.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"67 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2020-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81179748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 6
Transverse invariants and exotic surfaces in the4–ball 四球中的横向不变量和奇异曲面
IF 2 1区 数学
Geometry & Topology Pub Date : 2020-01-20 DOI: 10.2140/gt.2021.25.2963
Andr'as Juh'asz, Maggie Miller, Ian Zemke
{"title":"Transverse invariants and exotic surfaces in the\u00004–ball","authors":"Andr'as Juh'asz, Maggie Miller, Ian Zemke","doi":"10.2140/gt.2021.25.2963","DOIUrl":"https://doi.org/10.2140/gt.2021.25.2963","url":null,"abstract":"Using 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopic, but not ambient diffeomorphic. We distinguish the surfaces using the maps they induce on perturbed sutured Floer homology. Along the way, we show that the cobordism map induced by an ascending surface in a Weinstein cobordism preserves the transverse invariant in knot Floer homology.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"88 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2020-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79169404","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 13
Braid monodromy of univariate fewnomials 单变量少项的辫状单项
IF 2 1区 数学
Geometry & Topology Pub Date : 2020-01-06 DOI: 10.2140/gt.2021.25.3053
A. Esterov, Lionel Lang
{"title":"Braid monodromy of univariate fewnomials","authors":"A. Esterov, Lionel Lang","doi":"10.2140/gt.2021.25.3053","DOIUrl":"https://doi.org/10.2140/gt.2021.25.3053","url":null,"abstract":"Let $mathcal{C}_dsubset mathbb{C}^{d+1}$ be the space of non-singular, univariate polynomials of degree $d$. The Vi`{e}te map $mathscr{V} : mathcal{C}_d rightarrow Sym_d(mathbb{C})$ sends a polynomial to its unordered set of roots. It is a classical fact that the induced map $mathscr{V}_*$ at the level of fundamental groups realises an isomorphism between $pi_1(mathcal{C}_d)$ and the Artin braid group $B_d$. For fewnomials, or equivalently for the intersection $mathcal{C}$ of $mathcal{C}_d$ with a collection of coordinate hyperplanes in $mathbb{C}^{d+1}$, the image of the map $mathscr{V} _* : pi_1(mathcal{C}) rightarrow B_d$ is not known in general. In the present paper, we show that the map $mathscr{V} _*$ is surjective provided that the support of the corresponding polynomials spans $mathbb{Z}$ as an affine lattice. If the support spans a strict sublattice of index $b$, we show that the image of $mathscr{V} _*$ is the expected wreath product of $mathbb{Z}/bmathbb{Z}$ with $B_{d/b}$. From these results, we derive an application to the computation of the braid monodromy for collections of univariate polynomials depending on a common set of parameters.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"47 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2020-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72861792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 3
Reidemeister torsion, complex volume and theZograf infinite product for hyperbolic 3–manifolds 双曲3 -流形的Reidemeister扭转，复体积和zograf无穷积
IF 2 1区 数学
Geometry & Topology Pub Date : 2019-12-30 DOI: 10.2140/GT.2019.23.3687
Jinsung Park
{"title":"Reidemeister torsion, complex volume and the\u0000Zograf infinite product for hyperbolic 3–manifolds","authors":"Jinsung Park","doi":"10.2140/GT.2019.23.3687","DOIUrl":"https://doi.org/10.2140/GT.2019.23.3687","url":null,"abstract":"","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"17 1","pages":"3687-3734"},"PeriodicalIF":2.0,"publicationDate":"2019-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84866232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 6
Moduli theory, stability of fibrations and optimal symplectic connections 模理论，纤维的稳定性和最优辛连接
IF 2 1区 数学
Geometry & Topology Pub Date : 2019-11-28 DOI: 10.2140/gt.2021.25.2643
R. Dervan, Lars Martin Sektnan
{"title":"Moduli theory, stability of fibrations and optimal symplectic connections","authors":"R. Dervan, Lars Martin Sektnan","doi":"10.2140/gt.2021.25.2643","DOIUrl":"https://doi.org/10.2140/gt.2021.25.2643","url":null,"abstract":"K-polystability is, on the one hand, conjecturally equivalent to the existence of certain canonical Kahler metrics on polarised varieties, and, on the other hand, conjecturally gives the correct notion to form moduli. We introduce a notion of stability for families of K-polystable varieties, extending the classical notion of slope stability of a bundle, viewed as a family of K-polystable varieties via the associated projectivisation. We conjecture that this is the correct condition for forming moduli of fibrations. \u0000Our main result relates this stability condition to Kahler geometry: we prove that the existence of an optimal symplectic connection implies semistability of the fibration. An optimal symplectic connection is a choice of fibrewise constant scalar curvature Kahler metric, satisfying a certain geometric partial differential equation. We conjecture that the existence of such a connection is equivalent to polystability of the fibration. We prove a finite dimensional analogue of this conjecture, by describing a GIT problem for fibrations embedded in a fixed projective space, and showing that GIT polystability is equivalent to the existence of a zero of a certain moment map.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"60 7 Pt 2 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2019-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88620019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 9
Mixed curvature almost flat manifolds 混合曲率几乎平坦流形
IF 2 1区 数学
Geometry & Topology Pub Date : 2019-11-20 DOI: 10.2140/gt.2021.25.2017
V. Kapovitch
{"title":"Mixed curvature almost flat manifolds","authors":"V. Kapovitch","doi":"10.2140/gt.2021.25.2017","DOIUrl":"https://doi.org/10.2140/gt.2021.25.2017","url":null,"abstract":"We prove a mixed curvature analogue of Gromov's almost flat manifolds theorem for upper sectional and lower Bakry-Emery Ricci curvature bounds.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"54 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2019-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83316314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 2
Blowups with log canonical singularities 带对数正则奇点的膨胀
IF 2 1区 数学
Geometry & Topology Pub Date : 2019-11-15 DOI: 10.2140/gt.2021.25.2145
G. Sankaran, F. Santos
{"title":"Blowups with log canonical singularities","authors":"G. Sankaran, F. Santos","doi":"10.2140/gt.2021.25.2145","DOIUrl":"https://doi.org/10.2140/gt.2021.25.2145","url":null,"abstract":"We show that the minimum weight of a weighted blow-up of $mathbf A^d$ with $varepsilon$-log canonical singularities is bounded by a constant depending only on $varepsilon $ and $d$. This was conjectured by Birkar. \u0000Using the recent classification of $4$-dimensional empty simplices by Iglesias-Vali~no and Santos, we work out an explicit bound for blowups of $mathbf A^4$ with terminal singularities: the smallest weight is always at most $32$, and at most $6$ in all but finitely many cases.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"76 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2019-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83854135","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 1
Holomorphic Legendrian curves in ℂℙ3 andsuperminimal surfaces in 𝕊4 (3)和𝕊4上的超极小曲面的全纯legendian曲线
IF 2 1区 数学
Geometry & Topology Pub Date : 2019-10-28 DOI: 10.2140/gt.2021.25.3507
A. Alarcón, F. Forstnerič, F. Lárusson
{"title":"Holomorphic Legendrian curves in ℂℙ3 and\u0000superminimal surfaces in 𝕊4","authors":"A. Alarcón, F. Forstnerič, F. Lárusson","doi":"10.2140/gt.2021.25.3507","DOIUrl":"https://doi.org/10.2140/gt.2021.25.3507","url":null,"abstract":"We obtain a Runge approximation theorem for holomorphic Legendrian curves and immersions in the complex projective 3-space CP, both from open and compact Riemann surfaces, and we prove that the space of Legendrian immersions from an open Riemann surface into CP is path connected. We also show that holomorphic Legendrian immersions from Riemann surfaces of finite genus and at most countably many ends, none of which are point ends, satisfy the Calabi-Yau property. Coupled with the Runge approximation theorem, we infer that every open Riemann surface embeds into CP as a complete holomorphic Legendrian curve. Under the twistor projection π : CP → S onto the 4-sphere, immersed holomorphic Legendrian curves M → CP are in bijective correspondence with superminimal immersions M → S of positive spin according to a result of Bryant. This gives as corollaries the corresponding results on superminimal surfaces in S. In particular, superminimal immersions into S satisfy the Runge approximation theorem and the Calabi-Yau property.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"59 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2019-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73014242","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 11
Correction to the article An infinite-rank summand of topologically slice knots 对文章的更正拓扑切片结的无限秩和
IF 2 1区 数学
Geometry & Topology Pub Date : 2019-10-13 DOI: 10.2140/gt.2019.23.2699
Jennifer Hom
{"title":"Correction to the article An infinite-rank summand of topologically slice knots","authors":"Jennifer Hom","doi":"10.2140/gt.2019.23.2699","DOIUrl":"https://doi.org/10.2140/gt.2019.23.2699","url":null,"abstract":"","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"23 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2019-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85206056","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 2
Kähler manifolds with almost nonnegativecurvature Kähler几乎非负曲率流形
IF 2 1区 数学
Geometry & Topology Pub Date : 2019-10-06 DOI: 10.2140/gt.2021.25.1979
Man-Chun Lee, Luen-Fai Tam
{"title":"Kähler manifolds with almost nonnegative\u0000curvature","authors":"Man-Chun Lee, Luen-Fai Tam","doi":"10.2140/gt.2021.25.1979","DOIUrl":"https://doi.org/10.2140/gt.2021.25.1979","url":null,"abstract":"In this paper, we construct local and global solutions to the Kahler-Ricci flow from a non-collapsed Kahler manifold with curvature bounded from below. Combines with the mollification technique of McLeod-Simon-Topping, we show that the Gromov-Hausdorff limit of sequence of complete noncompact non-collapsed Kahler manifolds with orthogonal bisectional curvature and Ricci curvature bounded from below is homeomorphic to a complex manifold. We also use it to study the complex structure of complete Kahler manifolds with nonnegative orthogonal bisectional curvature, nonnegative Ricci curvature and maximal volume growth.","PeriodicalId":55105,"journal":{"name":"Geometry & Topology","volume":"82 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2019-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88466534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 7
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