Homeomorphisms and the homology of non-orientable surfaces
General Topology
2007-05-23 v1
Abstract
We show that, for a closed non-orientable surface , an automorphism of is induced by a homeomorphism of if and only if it preserves the (mod 2) intersection pairing. We shall also prove the corresponding result for punctured surfaces.
Cite
@article{arxiv.math/0607693,
title = {Homeomorphisms and the homology of non-orientable surfaces},
author = {Siddhartha Gadgil and Dishant Pancholi},
journal= {arXiv preprint arXiv:math/0607693},
year = {2007}
}