The good pants homology and the Ehrenpreis Conjecture

成果类型:
Article
署名作者:
Kahn, Jeremy; Markovic, Vladimir
刊物名称:
ANNALS OF MATHEMATICS
ISSN/ISSBN:
0003-486X
DOI:
10.4007/annals.2015.182.1.1
发表日期:
2015
页码:
1-72
关键词:
摘要:
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.