Homeomorphisms and the homology of non-orientable surfaces

被引：8

作者：

Gadgil, S ^{[1
]}

Pancholi, D

机构：

[1] Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, India

[2] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2005年 / 115卷 / 03期

关键词：

non-orientable surfaces; Dehn twist; mapping class groups; crosscap slide;

D O I：

10.1007/BF02829656

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, for a closed non-orientable surface F, an automorphism of H, (F, Z) is induced by a homeomorphism of F if and only if it preserves the (mod 2) intersection pairing. We shall also prove the corresponding result for punctured surfaces.

引用

页码：251 / 257

页数：7

共 50 条

[41] On non-orientable surfaces embedded in 4-manifolds
Auckly, David
Sadykov, Rustam
JOURNAL OF TOPOLOGY, 2021, 14 (02) : 587 - 607
[42] Boundary slopes of non-orientable Seifert surfaces for knots
Ichihara, K
Ohtouge, M
Teragaito, M
TOPOLOGY AND ITS APPLICATIONS, 2002, 122 (03) : 467 - 478
[43] Non-orientable surfaces and electric-magnetic duality
Siye Wu
Journal of High Energy Physics, 2018
[44] Non-orientable surfaces in 4-dimensional space
Bae, Yongju
Carter, J. Scott
Choi, Seonmi
Kim, Sera
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2014, 23 (11)
[45] Non-orientable surfaces and electric-magnetic duality
Wu, Siye
JOURNAL OF HIGH ENERGY PHYSICS, 2018, (10):
[46] ON THE DIMENSIONS OF MAPPING CLASS GROUPS OF NON-ORIENTABLE SURFACES
Hidber, Cristhian E.
Jorge Sanchez Saldana, Luis
Trujillo-Negrete, Alejandra
HOMOLOGY HOMOTOPY AND APPLICATIONS, 2022, 24 (01) : 347 - 372
[47] Connected components of spaces of representations of non-orientable surfaces
Palesi, Frederic
COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2010, 18 (01) : 195 - 217
[48] NON-ORIENTABLE AND ORIENTABLE REGULAR MAPS
BERGAU, P
GARBE, D
LECTURE NOTES IN MATHEMATICS, 1989, 1398 : 29 - 42
[49] Finding Non-orientable Surfaces in 3-Manifolds
Benjamin A. Burton
Arnaud de Mesmay
Uli Wagner
Discrete & Computational Geometry, 2017, 58 : 871 - 888
[50] NON-ORIENTABLE AND ORIENTABLE REGULAR MAPS
BERGAU, P
GARBE, D
GROUPS - KOREA 1988, 1989, 1398 : 29 - 42

← 1 2 3 4 5 →