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Double Johnson Filtrations for Mapping Class Groups 映射类组的双Johnson过滤
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500401
Kazuo Habiro, Anderson Vera
{"title":"Double Johnson Filtrations for Mapping Class Groups","authors":"Kazuo Habiro, Anderson Vera","doi":"10.1142/s1793525323500401","DOIUrl":"https://doi.org/10.1142/s1793525323500401","url":null,"abstract":"We first develop a general theory of Johnson filtrations and Johnson homomorphisms for a group $G$ acting on another group $K$ equipped with a filtration indexed by a good ordered commutative monoid. Then, specializing it to the case where the monoid is the additive monoid $mathbb{N}^2$ of pairs on nonnegative integers, we obtain a theory of double Johnson filtrations and homomorphisms. We apply this theory to the mapping class group $mathcal{M}$ of a surface $Sigma_{g,1}$ with one boundary component, equipped with the normal subgroups $bar{X}$, $bar{Y}$ of $pi_1(Sigma_{g,1})$ associated to a standard Heegaard splitting of the $3$-sphere. We also consider the case where the group $G$ is the automorphism group of a free group.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135087565","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
Remark on Ordered Braid Groups 关于有序编织群的注解
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500450
Igor V. Nikolaev
{"title":"Remark on Ordered Braid Groups","authors":"Igor V. Nikolaev","doi":"10.1142/s1793525323500450","DOIUrl":"https://doi.org/10.1142/s1793525323500450","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135191426","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
Morse Functions and Real Lagrangian Thimbles on Adjoint Orbits 伴随轨道上的莫尔斯函数和实拉格朗日顶针
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500395
Elizabeth Gasparim, Luiz A. B. San Martin
{"title":"Morse Functions and Real Lagrangian Thimbles on Adjoint Orbits","authors":"Elizabeth Gasparim, Luiz A. B. San Martin","doi":"10.1142/s1793525323500395","DOIUrl":"https://doi.org/10.1142/s1793525323500395","url":null,"abstract":"We compare Lagrangian thimbles for the potential of a Landau-Ginzburg model to the Morse theory of its real part. We explore Landau-Ginzburg models defined using Lie theory, constructing their real Lagrangian thimbles explicitly and comparing them to the stable and unstable manifolds of the real gradient flow.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135087721","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
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
3区 数学
Journal of Topology and Analysis Pub Date : 2023-08-03 DOI: 10.1142/s1793525323500292
Yasuaki Hiraoka, Yuichi Ike, Michio Yoshiwaki
{"title":"Algebraic stability theorem for derived categories of zigzag persistence modules","authors":"Yasuaki Hiraoka, Yuichi Ike, Michio Yoshiwaki","doi":"10.1142/s1793525323500292","DOIUrl":"https://doi.org/10.1142/s1793525323500292","url":null,"abstract":"We study distances on zigzag persistence modules from the viewpoint of derived categories and Auslander–Reiten quivers. The derived category of ordinary persistence modules is derived equivalent to that of arbitrary zigzag persistence modules, depending on a classical tilting module. Through this derived equivalence, we define and compute distances on the derived category of arbitrary zigzag persistence modules and prove an algebraic stability theorem. We also compare our distance with the distance for purely zigzag persistence modules introduced by Botnan–Lesnick and the sheaf-theoretic convolution distance due to Kashiwara–Schapira.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136228733","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
Erratum: Homomorphisms from AH-algebras 勘误:ah -代数的同态
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-07-24 DOI: 10.1142/s1793525323920012
Huaxin Lin
{"title":"Erratum: Homomorphisms from AH-algebras","authors":"Huaxin Lin","doi":"10.1142/s1793525323920012","DOIUrl":"https://doi.org/10.1142/s1793525323920012","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74175252","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
Numerical invariants for two-component virtual spatial graphs 双分量虚空间图的数值不变量
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-06-30 DOI: 10.1142/s1793525323500310
Komal Negi, M. Prabhakar
{"title":"Numerical invariants for two-component virtual spatial graphs","authors":"Komal Negi, M. Prabhakar","doi":"10.1142/s1793525323500310","DOIUrl":"https://doi.org/10.1142/s1793525323500310","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79247240","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
On the homology of spaces of equivariant maps 等变映射空间的同调性
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-06-20 DOI: 10.1142/s1793525323500243
V. Vassiliev
{"title":"On the homology of spaces of equivariant maps","authors":"V. Vassiliev","doi":"10.1142/s1793525323500243","DOIUrl":"https://doi.org/10.1142/s1793525323500243","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85001718","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
Lower N-weighted Ricci curvature bound with ε-range and displacement convexity of entropies 具有ε-范围和熵的位移凸性的下n加权Ricci曲率界
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-06-20 DOI: 10.1142/s1793525323500309
K. Kuwae, Y. Sakurai
{"title":"Lower N-weighted Ricci curvature bound with ε-range and displacement convexity of entropies","authors":"K. Kuwae, Y. Sakurai","doi":"10.1142/s1793525323500309","DOIUrl":"https://doi.org/10.1142/s1793525323500309","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82847857","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
Existence of contact forms with large systolic ratio: an inductive proof 大收缩比接触形式的存在:一个归纳证明
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-06-20 DOI: 10.1142/s1793525323500279
Murat Sağlam
{"title":"Existence of contact forms with large systolic ratio: an inductive proof","authors":"Murat Sağlam","doi":"10.1142/s1793525323500279","DOIUrl":"https://doi.org/10.1142/s1793525323500279","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90643989","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
On permanence of regularity properties 关于正则性的持久性
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-05-12 DOI: 10.1142/s1793525323500140
H. Lee, H. Osaka
{"title":"On permanence of regularity properties","authors":"H. Lee, H. Osaka","doi":"10.1142/s1793525323500140","DOIUrl":"https://doi.org/10.1142/s1793525323500140","url":null,"abstract":". We study a pair of C ∗ -algebras ( A, B ) by associating a ∗ -homomorphism from A to B which allows an approximate left inverse to the ultrapower C ∗ -algebra of A as a completely positive map of order zero and show that important regularity properties related to the Elliott program pass from B to A in our setting.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90017952","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
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