Homeomorphisms and the homology of non-orientable surfaces |
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| Authors: | Siddhartha Gadgil Dishant Pancholi |
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| Affiliation: | (1) Stat Math Unit, Indian Statistical Institute, 560 059 Bangalore, India;(2) School of Mathematics, Tata Institute of Fundamental Research, 400 005 Mumbai, India |
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| Abstract: | ![]()
We show that, for a closed non-orientable surfaceF, an automorphism ofH 1(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. |
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| Keywords: | Non-orientable surfaces Dehn twist mapping class groups crosscap slide |
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