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Published July 2015 | Published + Submitted
Journal Article Open

The good pants homology and the Ehrenpreis Conjecture

Abstract

We develop the notion of the good pants homology and show that it agrees with the standard homology on closed surfaces. (Good pants are pairs of pants whose cuffs have the length nearly equal to some large number R>0.) Combined with our previous work on the Surface Subgroup Theorem, this yields a proof of the Ehrenpreis Conjecture.

Additional Information

© 2015 Department of Mathematics, Princeton University. Received: January 11, 2013; Revised: July 7, 2014; Accepted: 25 July 2014. JK is supported by NSF grant number DMS-0905812.

Attached Files

Published - annals-v182-n1-p01-p.pdf

Submitted - 1101.1330v4.pdf

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August 20, 2023
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