Resolutions of moduli spaces and homological stability

被引：33

作者：

Randal-Williams, Oscar ^{[1
]}

机构：

[1] Ctr Math Sci, Wilberforce Rd, Cambridge CB3 0WB, England

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2016年 / 18卷 / 01期

基金：

新加坡国家研究基金会; 欧洲研究理事会; 英国工程与自然科学研究理事会;

关键词：

Homological stability; mapping class groups; moduli spaces; MAPPING CLASS GROUP; RIEMANN SURFACES; R-SPIN;

D O I：

10.4171/JEMS/583

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe partial semi-simplicial resolutions of moduli spaces of surfaces with tangential structure. This allows us to prove a homological stability theorem for these moduli spaces, which often improves the known stability ranges and gives explicit stability ranges in many new cases. In each of these cases the stable homology can be identified using the methods of Galatius, Madsen, Tillmann and Weiss.

引用

页码：1 / 81

页数：81

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