String homology of spheres and projective spaces

被引：17

作者：

Westerland, Craig ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2007年 / 7卷

基金：

美国国家科学基金会;

关键词：

Batalin-Vilkovisky algebra; Cyclic homology; Equivariant homology; String homology;

D O I：

10.2140/agt.2007.7.309

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a spectral sequence that computes the S-1-equivariant homology of the free loop space LM of a manifold M (the string homology of M). Using it and knowledge of the BV operations on HH*(H*(M), H*(M)), we compute the (mod 2) string homology of M when M is a sphere or a projective space.

引用

页码：309 / 325

页数：17

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