发布求助
文献互助 智能选刊 最新文献

arXiv: Geometric Topology最新文献

筛选
英文 中文
Skein theoretic approach to Yang-Baxter homology Yang-Baxter同源的Skein理论方法
arXiv: Geometric Topology Pub Date : 2020-04-01 DOI: 10.1016/J.TOPOL.2021.107836
M. Elhamdadi, M. Saito, E. Zappala
{"title":"Skein theoretic approach to Yang-Baxter homology","authors":"M. Elhamdadi, M. Saito, E. Zappala","doi":"10.1016/J.TOPOL.2021.107836","DOIUrl":"https://doi.org/10.1016/J.TOPOL.2021.107836","url":null,"abstract":"","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89085618","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
An exposition of the equivalence of Heegaard Floer homology and embedded contact homology 探讨了heegard flower同调和嵌入式接触同调的等价性
arXiv: Geometric Topology Pub Date : 2020-04-01 DOI: 10.1090/conm/760/15286
P. Ghiggini, V. Colin, K. Honda
{"title":"An exposition of the equivalence of Heegaard\u0000 Floer homology and embedded contact homology","authors":"P. Ghiggini, V. Colin, K. Honda","doi":"10.1090/conm/760/15286","DOIUrl":"https://doi.org/10.1090/conm/760/15286","url":null,"abstract":"This article is a survey on the authors' proof of the isomorphism between Heegaard Floer homology and embedded contact homology appeared in This article is a survey on the authors' proof of the isomorphism between Heegaard Floer homology and embedded contact homology appeared in arXiv:1208.1074, arXiv:1208.1077 and arXiv:1208.1526.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90887867","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: 1
Generating links that are both quasi-alternating and almost alternating 生成准交替和几乎交替的链接
arXiv: Geometric Topology Pub Date : 2020-03-30 DOI: 10.1142/s021821652050090x
H. Abchir, Mohammed Sabak
{"title":"Generating links that are both quasi-alternating and almost alternating","authors":"H. Abchir, Mohammed Sabak","doi":"10.1142/s021821652050090x","DOIUrl":"https://doi.org/10.1142/s021821652050090x","url":null,"abstract":"We construct an infinite family of links which are both almost alternating and quasi-alternating from a given either almost alternating diagram representing a quasi-alternating link, or connected and reduced alternating tangle diagram. To do that we use what we call a dealternator extension which consists in replacing the dealternator by a rational tangle extending it. We note that all not alternating and quasi-alternating Montesinos links can be obtained in that way. We check that all the obtained quasi-alternating links satisfy Conjecture 3.1 of Qazaqzeh et al. (JKTR 22 (06), 2013), that is the crossing number of a quasi-alternating link is less than or equal to its determinant. We also prove that the converse of the Theorem 3.3 of Qazaqzeh et al. (JKTR 24 (01), 2015) is false.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"128 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85337719","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: 1
Monopole Floer Homology, Eigenform Multiplicities, and the Seifert–Weber Dodecahedral Space 单极花同调、本征多重性与Seifert-Weber十二面体空间
arXiv: Geometric Topology Pub Date : 2020-03-25 DOI: 10.1093/imrn/rnaa310
Francesco Lin, Michael Lipnowski
{"title":"Monopole Floer Homology, Eigenform Multiplicities, and the Seifert–Weber Dodecahedral Space","authors":"Francesco Lin, Michael Lipnowski","doi":"10.1093/imrn/rnaa310","DOIUrl":"https://doi.org/10.1093/imrn/rnaa310","url":null,"abstract":"We show that the Seifert-Weber dodecahedral space $mathsf{SW}$ is an $L$-space. The proof builds on our work relating Floer homology and spectral geometry of hyperbolic three-manifolds. A direct application of our previous techniques runs into difficulties arising from the computational complexity of the problem. We overcome this by exploiting the large symmetry group and the arithmetic and tetrahedral group structure of $mathsf{SW}$ to prove that small eigenvalues on coexact $1$-forms must have large multiplicity.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"61 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84800679","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: 5
Degenerations of representations and thin triangles 表示和细三角形的退化
arXiv: Geometric Topology Pub Date : 2020-03-01 DOI: 10.1090/conm/760/15287
D. Cooper
{"title":"Degenerations of representations and thin\u0000 triangles","authors":"D. Cooper","doi":"10.1090/conm/760/15287","DOIUrl":"https://doi.org/10.1090/conm/760/15287","url":null,"abstract":"There is a compactification of the space of representations of a finitely generated group into the groups of isometries of all spaces with $Delta$-thin triangles. The ideal points are actions on $mathbb R$-trees. It is a geometric reformulation and extension of the Culler-Morgan-Shalen theory concerning limits of representations into $operatorname{SL}(2,{mathbb C})$ and more generally $operatorname{O}(n, 1)$. This paper was written and circulated in the early 90's, but never published.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86357993","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: 0
A geometric invariant of virtual n-links 虚n链的几何不变量
arXiv: Geometric Topology Pub Date : 2020-03-01 DOI: 10.1016/j.topol.2020.107311
Blake K. Winter
{"title":"A geometric invariant of virtual n-links","authors":"Blake K. Winter","doi":"10.1016/j.topol.2020.107311","DOIUrl":"https://doi.org/10.1016/j.topol.2020.107311","url":null,"abstract":"","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"60 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76228240","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: 1
Hyperbolic Knot Theory 双曲结理论
arXiv: Geometric Topology Pub Date : 2020-02-28 DOI: 10.1090/gsm/209
J. Purcell
{"title":"Hyperbolic Knot Theory","authors":"J. Purcell","doi":"10.1090/gsm/209","DOIUrl":"https://doi.org/10.1090/gsm/209","url":null,"abstract":"This book is an introduction to hyperbolic geometry in dimension three, and its applications to knot theory and to geometric problems arising in knot theory. It has three parts. The first part covers basic tools in hyperbolic geometry and geometric structures on 3-manifolds. The second part focuses on families of knots and links that have been amenable to study via hyperbolic geometry, particularly twist knots, 2-bridge knots, and alternating knots. It also develops geometric techniques used to study these families, such as angle structures and normal surfaces. The third part gives more detail on three important knot invariants that come directly from hyperbolic geometry, namely volume, canonical polyhedra, and the A-polynomial.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"86 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85063140","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: 24
On Faces of Quasi-arithmetic Coxeter Polytopes 拟算术共轭多面体的面
arXiv: Geometric Topology Pub Date : 2020-02-26 DOI: 10.1093/IMRN/RNAA278
N. Bogachev, A. Kolpakov
{"title":"On Faces of Quasi-arithmetic Coxeter Polytopes","authors":"N. Bogachev, A. Kolpakov","doi":"10.1093/IMRN/RNAA278","DOIUrl":"https://doi.org/10.1093/IMRN/RNAA278","url":null,"abstract":"We prove that each lower-dimensional face of a quasi-arithmetic Coxeter polytope, which happens to be itself a Coxeter polytope, is also quasi-arithmetic. We also provide a sufficient condition for a codimension $1$ face to be actually arithmetic, as well as a few computed examples.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"36 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80105608","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: 7
Links in surfaces and Laplacian modules 曲面和拉普拉斯模块中的链接
arXiv: Geometric Topology Pub Date : 2020-02-24 DOI: 10.1142/s0218216520500571
D. Silver, Susan G. Williams
{"title":"Links in surfaces and Laplacian modules","authors":"D. Silver, Susan G. Williams","doi":"10.1142/s0218216520500571","DOIUrl":"https://doi.org/10.1142/s0218216520500571","url":null,"abstract":"Laplacian matrices of weighted graphs in surfaces $S$ are used to define module and polynomial invariants of $Z/2$-homologically trivial links in $S times [0,1]$. Information about virtual genus is obtained.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84526581","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: 1
Twisted Alexander Invariants of Knot Group Representations 结群表示的扭曲亚历山大不变量
arXiv: Geometric Topology Pub Date : 2020-02-24 DOI: 10.3836/tjm/1502179346
Takefumi Nosaka
{"title":"Twisted Alexander Invariants of Knot Group Representations","authors":"Takefumi Nosaka","doi":"10.3836/tjm/1502179346","DOIUrl":"https://doi.org/10.3836/tjm/1502179346","url":null,"abstract":"Given a homomorphism from a knot group to a fixed group, we introduce an element of a $K_1$-group, which is a generalization of (twisted) Alexander polynomials. We compare this $K_1$-class with other Alexander polynomials. In terms of semi-local rings, we compute the $K_1$-classes of some knots and show their non-triviality. We also introduce metabelian Alexander polynomials.","PeriodicalId":8454,"journal":{"name":"arXiv: Geometric Topology","volume":"156 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2020-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76089909","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: 1
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