Topology and Geometry最新文献

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On Chen–Yang’s volume conjecture for various quantum invariants 关于各种量子不变量的陈阳体积猜想
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/9
J. Murakami
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引用次数: 0
Triangles on planar Jordan $C^1$-curves and differential topology 平面Jordan $C^1$曲线上的三角形与微分拓扑
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/2
J. Hausmann
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引用次数: 0
What is a black hole? – A geometric introduction 什么是黑洞?——几何介绍
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/26
S. Yamada
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引用次数: 0
The paradoxical nature of mathematics 数学自相矛盾的本质
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/27
V. Farmaki, S. Negrepontis
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引用次数: 2
Higher holonomy and iterated integrals 高完整性和迭代积分
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/16
T. Kohno
{"title":"Higher holonomy and iterated integrals","authors":"T. Kohno","doi":"10.4171/IRMA/33-1/16","DOIUrl":"https://doi.org/10.4171/IRMA/33-1/16","url":null,"abstract":"We develop a method to construct representations of the homotopy n-groupoid of a manifold as an n-category by means of K.-T. Chen’s formal homology connections for any positive integer n. We establish a higher holonomy functor from the homotopy n-groupoid to a category obtained from the tensor algebra over the homology of the manifold.","PeriodicalId":270093,"journal":{"name":"Topology and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125554167","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
Dessins for modular operads and the Grothendieck–Teichmüller group 模块化操作和grothendieck - teichm<s:1> ller组的设计
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/irma/33-1/24
N. Combe, Y. Manin, M. Marcolli
{"title":"Dessins for modular operads and the Grothendieck–Teichmüller group","authors":"N. Combe, Y. Manin, M. Marcolli","doi":"10.4171/irma/33-1/24","DOIUrl":"https://doi.org/10.4171/irma/33-1/24","url":null,"abstract":"","PeriodicalId":270093,"journal":{"name":"Topology and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130087596","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
On geometric group theory 论几何群论
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/19
V. Poénaru
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引用次数: 0
On the involution Jimm 关于对折,吉姆
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/25
A. M. Uludağ
{"title":"On the involution Jimm","authors":"A. M. Uludağ","doi":"10.4171/IRMA/33-1/25","DOIUrl":"https://doi.org/10.4171/IRMA/33-1/25","url":null,"abstract":"","PeriodicalId":270093,"journal":{"name":"Topology and Geometry","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130959669","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
Geometry of knots and links 几何的结和链接
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/20
Nikolay A. Abrosimov, A. Mednykh
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引用次数: 1
Returns of geometry: From the Pythagoreans to mathematical modernism and beyond 几何学的回归:从毕达哥拉斯学派到数学现代主义及以后
Topology and Geometry Pub Date : 2021-07-15 DOI: 10.4171/IRMA/33-1/28
A. Plotnitsky
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引用次数: 0
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