The good pants homology and the Ehrenpreis conjecture
Geometric Topology
2015-03-17 v4
Abstract
We develop the notion of the good pants homology and show that it agrees with the standard homology on closed surfaces (the good pants are pairs of pants whose cuffs have the length nearly equal to some large number R). Combined with our previous work on the Surface Subgroup Theorem, this yields a proof of the Ehrenpreis conjecture.
Keywords
Cite
@article{arxiv.1101.1330,
title = {The good pants homology and the Ehrenpreis conjecture},
author = {Jeremy Kahn and Vladimir Markovic},
journal= {arXiv preprint arXiv:1101.1330},
year = {2015}
}
Comments
Revised to incorporate the advice of the referee. Appendix 2 has been substantially rewritten. 78 pages