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

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