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Homeomorphisms and the homology of non-orientable surfaces

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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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Authors and Affiliations

  1. Stat Math Unit, Indian Statistical Institute, 560 059, Bangalore, India

    Siddhartha Gadgil & Dishant Pancholi

  2. School of Mathematics, Tata Institute of Fundamental Research, 400 005, Mumbai, India

    Dishant Pancholi

Authors
  1. Siddhartha Gadgil
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  2. Dishant Pancholi
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Gadgil, S., Pancholi, D. Homeomorphisms and the homology of non-orientable surfaces. Proc Math Sci 115, 251–257 (2005). https://doi.org/10.1007/BF02829656

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  • DOI: https://doi.org/10.1007/BF02829656

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