Linking forms revisited
Geometric Topology
2018-02-28 v3
Abstract
We show that the -valued linking forms on rational homology spheres are (anti-) symmetric and we compute the linking form of a 3-dimensional rational homology sphere in terms of a Heegaard splitting. Both results have been known to a larger or lesser degree, but it is difficult to find rigorous down-to-earth proofs in the literature.
Keywords
Cite
@article{arxiv.1708.03754,
title = {Linking forms revisited},
author = {Anthony Conway and Stefan Friedl and Gerrit Herrmann},
journal= {arXiv preprint arXiv:1708.03754},
year = {2018}
}
Comments
15 pages, a sign error was fixed in the main theorem, final version, to appear in Pure and Applied Mathematics Quarterly