Homological stability for moduli spaces of high dimensional manifolds. II

• 成果类型: Article
• 署名作者: Galatius, Soren; Randal-Williams, Oscar D.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2017.186.1.4
• 发表日期: 2017
• 页码: 127-204
• 关键词: surfaces; Homotopy

摘要

We prove a homological stability theorem for moduli spaces of manifolds of dimension 2n, for attaching handles of index at least n, after these manifolds have been stabilised by countably many copies of S-n x S-n. Combined with previous work of the authors, we obtain an analogue of the Madsen Weiss theorem for any simply -connected manifold of dimension 2n >= 6.