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Maps from 3-manifolds to 4-manifolds that induce isomorphisms on π1 π1上诱导同构的从3-漫空间到4-漫空间的映射
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-15 DOI: 10.1142/s1793525323500528
Hongbin Sun, Zhongzi Wang
{"title":"Maps from 3-manifolds to 4-manifolds that induce isomorphisms on π1","authors":"Hongbin Sun, Zhongzi Wang","doi":"10.1142/s1793525323500528","DOIUrl":"https://doi.org/10.1142/s1793525323500528","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139276145","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
Reducible normal generators for mapping class groups are abundant 映射类群的可还原法向生成器非常丰富
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-15 DOI: 10.1142/s1793525323500474
Hyungryul Baik, Dongryul M. Kim, Chenxi Wu
{"title":"Reducible normal generators for mapping class groups are abundant","authors":"Hyungryul Baik, Dongryul M. Kim, Chenxi Wu","doi":"10.1142/s1793525323500474","DOIUrl":"https://doi.org/10.1142/s1793525323500474","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139271090","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
Wide short geodesic loops on closed Riemannian manifolds 封闭黎曼流形上的宽短测地线环
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-15 DOI: 10.1142/s1793525323500486
Regina Rotman
{"title":"Wide short geodesic loops on closed Riemannian manifolds","authors":"Regina Rotman","doi":"10.1142/s1793525323500486","DOIUrl":"https://doi.org/10.1142/s1793525323500486","url":null,"abstract":"It is not known whether or not the lenth of the shortest periodic geodesic on a closed Riemannian manifold $M^n$ can be majorized by $c(n) vol^{ 1 over n}$, or $tilde{c}(n)d$, where $n$ is the dimension of $M^n$, $vol$ denotes the volume of $M^n$, and $d$ denotes its diameter. In this paper we will prove that for each $epsilon >0$ one can find such estimates for the length of a geodesic loop with with angle between $pi-epsilon$ and $pi$ with an explicit constant that depends both on $n$ and $epsilon$. That is, let $epsilon > 0$, and let $a = lceil{ {1 over {sin ({epsilon over 2})}}} rceil+1 $. We will prove that there exists a wide (i.e. with an angle that is wider than $pi-epsilon$) geodesic loop on $M^n$ of length at most $2n!a^nd$. We will also show that there exists a wide geodesic loop of length at most $2(n+1)!^2a^{(n+1)^3} FillRad leq 2 cdot n(n+1)!^2a^{(n+1)^3} vol^{1 over n}$. Here $FillRad$ is the Filling Radius of $M^n$.","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136227754","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: 3
New examples in dimensions N ≥ 4 related to a question of J.W. Cannon and S.G. Wayment 与J.W. 坎农和S.G. 韦门特的一个问题有关的维数N≥4的新例子
IF 0.8 3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-15 DOI: 10.1142/s1793525323500577
Olga Frolkina
{"title":"New examples in dimensions N ≥ 4 related to a question of J.W. Cannon and S.G. Wayment","authors":"Olga Frolkina","doi":"10.1142/s1793525323500577","DOIUrl":"https://doi.org/10.1142/s1793525323500577","url":null,"abstract":"","PeriodicalId":49151,"journal":{"name":"Journal of Topology and Analysis","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139271130","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
Asymptotically Flat Fredholm Bundles and Assembly 渐近平坦Fredholm束与集合
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500413
Benedikt Hunger
{"title":"Asymptotically Flat Fredholm Bundles and Assembly","authors":"Benedikt Hunger","doi":"10.1142/s1793525323500413","DOIUrl":"https://doi.org/10.1142/s1793525323500413","url":null,"abstract":"Almost flat finitely generated projective Hilbert C*-module bundles were successfully used by Hanke and Schick to prove special cases of the Strong Novikov Conjecture. Dadarlat later showed that it is possible to calculate the index of a K-homology class $etain K_*(M)$ twisted with an almost flat bundle in terms of the image of $eta$ under Lafforgue's assembly map and the almost representation associated to the bundle. Mishchenko used flat infinite-dimensional bundles equipped with a Fredholm operator in order to prove special cases of the Novikov higher signature conjecture. ","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":"135087571","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
Finite Presentations for the Balanced Superelliptic Mapping Class Groups 平衡超椭圆映射类群的有限表示
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500383
Susumu Hirose, Genki Omori
{"title":"Finite Presentations for the Balanced Superelliptic Mapping Class Groups","authors":"Susumu Hirose, Genki Omori","doi":"10.1142/s1793525323500383","DOIUrl":"https://doi.org/10.1142/s1793525323500383","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":"135186914","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
Are two H-Spaces Homotopy Equivalent? An Algorithmic View Point 两个h空间是否等价?一个算法的观点
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500437
Maria Simkova
{"title":"Are two <i>H</i>-Spaces Homotopy Equivalent? An Algorithmic View Point","authors":"Maria Simkova","doi":"10.1142/s1793525323500437","DOIUrl":"https://doi.org/10.1142/s1793525323500437","url":null,"abstract":"This paper proposes an algorithm that decides if two simply connected spaces represented by finite simplicial sets of finite $k$-type and finite dimension $d$ are homotopy equivalent. If the spaces are homotopy equivalent, the algorithm finds a homotopy equivalence between their Postnikov stages in dimension $d$. As a consequence, we get an algorithm deciding if two spaces represented by finite simplicial sets are stably homotopy equivalent.","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":"135186911","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
Continuous dependence of curvature flow on initial conditions 曲率流动对初始条件的连续依赖性
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500371
Michael Gene Dobbins
{"title":"Continuous dependence of curvature flow on initial conditions","authors":"Michael Gene Dobbins","doi":"10.1142/s1793525323500371","DOIUrl":"https://doi.org/10.1142/s1793525323500371","url":null,"abstract":"We study the evolution of a Jordan curve on the 2-sphere by curvature flow, also known as curve shortening flow, and by level-set flow, which is a weak formulation of curvature flow. We show that the evolution of the curve depends continuously on the initial curve in Frechet distance in the case where the curve bisects the sphere. This even holds in the limit as time goes to infinity. This builds on Joseph Lauer's work on existence and uniqueness of solutions to the curvature flow problem on the sphere when the initial curve is not smooth.","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":"135087723","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
Bumpy Metrics Theorem for Geodesic Nets 测地线网的凹凸度量定理
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500425
Bruno Staffa
{"title":"Bumpy Metrics Theorem for Geodesic Nets","authors":"Bruno Staffa","doi":"10.1142/s1793525323500425","DOIUrl":"https://doi.org/10.1142/s1793525323500425","url":null,"abstract":"Stationary geodesic networks are the analogs of closed geodesics whose domain is a graph instead of a circle. We prove that for a generic Riemannian metric on a smooth manifold $M$ regular stationary geodesic nets are non-degenerate.","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":"135087572","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
A Finite Presentation for the Balanced Superelliptic Handlebody Group 平衡超椭圆柄体群的有限表示
3区 数学
Journal of Topology and Analysis Pub Date : 2023-11-10 DOI: 10.1142/s1793525323500449
Genki Omori, Yuya Yoshida
{"title":"A Finite Presentation for the Balanced Superelliptic Handlebody Group","authors":"Genki Omori, Yuya Yoshida","doi":"10.1142/s1793525323500449","DOIUrl":"https://doi.org/10.1142/s1793525323500449","url":null,"abstract":"The balanced superelliptic handlebody group is the normalizer of the transformation group of the balanced superelliptic covering space in the handlebody group of the total space. We give a finite presentation for the balanced superelliptic handlebody group. To give this presentation, we construct a finite presentation for the liftable Hilden 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":"135186912","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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