Homeomorphisms and the homology of non-orientable surfaces

Details Homeomorphisms and the homology of non-orientable surfaces Homeomorphisms and the homology of non-orientable surfaces

2006-07-27

arxiv.org/abs/math/0607693v1

Mathematics

General Topology

Scientific paper

We show that, for a closed non-orientable surface $F$, an automorphism of
$H_1(F,\Z)$ 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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