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.
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页码：251 / 257
页数：7
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