The good pants homology and a proof of the Ehrenpreis conjecture

Details The good pants homology and a proof of the Ehrenpreis conjecture The good pants homology and a proof of the Ehrenpreis conjecture

2011-01-06

arxiv.org/abs/1101.1330v2

Mathematics

Geometric Topology

Second draft. Comments welcome

Scientific paper

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.

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