Gadgil, Siddhartha ; Pancholi, Dishant (2005) Homeomorphisms and the homology of non-orientable surfaces Proceedings Mathematical Sciences, 115 (3). pp. 251-257. ISSN 0253-4142
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Official URL: http://doi.org/10.1007/BF02829656
Related URL: http://dx.doi.org/10.1007/BF02829656
Abstract
We show that, for a closed non-orientable surfaceF, an automorphism ofH1(F, ℤ) is induced by a homeomorphism ofF if and only if it preserves the (mod 2) intersection pairing. We shall also prove the corresponding result for punctured surfaces.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| Keywords: | Non-orientable surfaces; Dehn twist; mapping class groups; crosscap slide |
| ID Code: | 128302 |
| Deposited On: | 19 Oct 2022 07:03 |
| Last Modified: | 19 Oct 2022 07:03 |
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