发布求助
文献互助 智能选刊 最新文献

Journal of Topology and Analysis最新文献

筛选
英文 中文
Simplicial Volume of Closed Locally Homogeneous Riemmannian Manifolds 闭局部齐次黎曼流形的简单体积
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-11-16 DOI: 10.1142/s179352532350022x
P. How
{"title":"Simplicial Volume of Closed Locally Homogeneous Riemmannian Manifolds","authors":"P. How","doi":"10.1142/s179352532350022x","DOIUrl":"https://doi.org/10.1142/s179352532350022x","url":null,"abstract":"We show that every closed, locally homogeneous Riemannian manifold with positive simplicial volume must be homeomorphic to a locally symmetric space of non-compact type.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"67 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90200814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Extending periodic maps on surfaces over the 4-sphere 扩展4球表面上的周期映射
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-10-27 DOI: 10.1142/S1793525322500108
Shicheng Wang, Zhongzi Wang
{"title":"Extending periodic maps on surfaces over the 4-sphere","authors":"Shicheng Wang, Zhongzi Wang","doi":"10.1142/S1793525322500108","DOIUrl":"https://doi.org/10.1142/S1793525322500108","url":null,"abstract":"Let $F_g$ be the closed orientable surface of genus $g$. We address the problem to extend torsion elements of the mapping class group ${mathcal{M}}(F_g)$ over the 4-sphere $S^4$. Let $w_g$ be a torsion element of maximum order in ${mathcal{M}}(F_g)$. Results including: (1) For each $g$, $w_g$ is periodically extendable over $S^4$ for some non-smooth embedding $e: F_gto S^4$, and not periodically extendable over $S^4$ for any smooth embedding $e: F_gto S^4$. (2) For each $g$, $w_g$ is extendable over $S^4$ for some smooth embedding $e: F_gto S^4$ if and only if $g=4k, 4k+3$. (3) Each torsion element of order $p$ in ${mathcal{M}}(F_g)$ is extendable over $S^4$ for some smooth embedding $e: F_gto S^4$ if either (i) $p=3^m$ and $g$ is even; or (ii) $p=5^m$ and $gne 4k+2$; or (iii) $p=7^m$. Moreover the conditions on $g$ in (i) and (ii) can not be removed .","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89519520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Volumes of fibered 2-fold branched covers of 3-manifolds 纤维的2倍分支覆盖3流形的体积
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-08-05 DOI: 10.1142/s1793525323500322
Susumu Hirose, Efstratia Kalfagianni, E. Kin
{"title":"Volumes of fibered 2-fold branched covers of 3-manifolds","authors":"Susumu Hirose, Efstratia Kalfagianni, E. Kin","doi":"10.1142/s1793525323500322","DOIUrl":"https://doi.org/10.1142/s1793525323500322","url":null,"abstract":"We prove that for any closed, connected, oriented 3-manifold M, there exists an infinite family of 2-fold branched covers of M that are hyperbolic 3-manifolds and surface bundles over the circle with arbitrarily large volume.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"56 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89053575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Algebraic stability theorem for derived categories of zigzag persistence modules 之字形持久模的派生范畴的代数稳定性定理
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-07-01 DOI: 10.1142/s1793525322500091
Y. Hiraoka, Yuichi Ike, M. Yoshiwaki
{"title":"Algebraic stability theorem for derived categories of zigzag persistence modules","authors":"Y. Hiraoka, Yuichi Ike, M. Yoshiwaki","doi":"10.1142/s1793525322500091","DOIUrl":"https://doi.org/10.1142/s1793525322500091","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"69 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80731947","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Statement of Retraction: The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra 可收回声明:量子辛球的坐标代数不嵌入任何C*-代数
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-05-31 DOI: 10.1142/s1793525322930013
{"title":"Statement of Retraction: The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra","authors":"","doi":"10.1142/s1793525322930013","DOIUrl":"https://doi.org/10.1142/s1793525322930013","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"20 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84968565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Ribbon Yetter–Drinfeld modules and tangle invariants 带状叶氏-德林菲尔德模块和缠结不变量
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-04-06 DOI: 10.1142/s179352532350019x
K. Habiro, Yuka Kotorii
{"title":"Ribbon Yetter–Drinfeld modules and tangle invariants","authors":"K. Habiro, Yuka Kotorii","doi":"10.1142/s179352532350019x","DOIUrl":"https://doi.org/10.1142/s179352532350019x","url":null,"abstract":"We define notions of pivotal and ribbon objects in a monoidal category. These constructions give pivotal or ribbon monoidal categories from a monoidal category which is not necessarily with duals. We apply this construction to the braided monoidal category of Yetter--Drinfeld modules over a Hopf algebra. This gives rise to the notion of ribbon Yetter--Drinfeld modules over a Hopf algebra, which form ribbon categories. This gives an invariant of tangles.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"20 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90836087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Linear isoperimetric inequality for homogeneous Hadamard manifolds 齐次Hadamard流形的线性等周不等式
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2022-03-17 DOI: 10.1142/s1793525323500334
Hjalti Isleifsson
{"title":"Linear isoperimetric inequality for homogeneous Hadamard manifolds","authors":"Hjalti Isleifsson","doi":"10.1142/s1793525323500334","DOIUrl":"https://doi.org/10.1142/s1793525323500334","url":null,"abstract":"It is well known that simply connected symmetric spaces of non-positive sectional curvature admit a linear isoperimetric filling inequality for cycles of dimension greater than or equal to the rank of the space. In this note we extend that result to homogeneous Hadamard manifolds.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"16 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79865581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem 关于偏集的Morse-Bott理论和一个同调Lusternik-Schnirelmann定理
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-12-30 DOI: 10.1142/s1793525321500709
D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois, J. A. Vilches
{"title":"Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem","authors":"D. Fernández-Ternero, E. Macías-Virgós, D. Mosquera-Lois, J. A. Vilches","doi":"10.1142/s1793525321500709","DOIUrl":"https://doi.org/10.1142/s1793525321500709","url":null,"abstract":"We develop Morse–Bott theory on posets, generalizing both discrete Morse–Bott theory for regular complexes and Morse theory on posets. Moreover, we prove a Lusternik–Schnirelmann theorem for general matchings on posets, in particular, for Morse–Bott functions.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"26 47","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138495689","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Macroscopic scalar curvature and codimension 2 width 宏观标量曲率和余维2宽度
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-12-08 DOI: 10.1142/S1793525323500024
H. Alpert, Alexey Balitskiy, L. Guth
{"title":"Macroscopic scalar curvature and codimension 2 width","authors":"H. Alpert, Alexey Balitskiy, L. Guth","doi":"10.1142/S1793525323500024","DOIUrl":"https://doi.org/10.1142/S1793525323500024","url":null,"abstract":"We show that a complete $3$-dimensional Riemannian manifold $M$ with finitely generated first homology has macroscopic dimension $1$ if it satisfies the following\"macroscopic curvature\"assumptions: every ball of radius $10$ in $M$ has volume at most $4$, and every loop in every ball of radius $1$ in $M$ is null-homologous in the concentric ball of radius $2$.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"42 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74686550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra 量子辛球的坐标代数不嵌入到任何C*代数中
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2021-12-02 DOI: 10.1142/s1793525321500655
F. D’Andrea, G. Landi
{"title":"The coordinate algebra of a quantum symplectic sphere does not embed into any C*-algebra","authors":"F. D’Andrea, G. Landi","doi":"10.1142/s1793525321500655","DOIUrl":"https://doi.org/10.1142/s1793525321500655","url":null,"abstract":"In this note, we generalize a result of Mikkelsen–Szymański and show that, for every [Formula: see text], any bounded ∗-representation of the quantum symplectic sphere [Formula: see text] annihilates the first [Formula: see text] generators. We then classify irreducible representations of its coordinate algebra [Formula: see text].","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":"29 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2021-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78111671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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