Volume 7, issue 1 (2007)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
String homology of spheres and projective spaces

Craig Westerland

Algebraic & Geometric Topology 7 (2007) 309–325

arXiv: math.AT/0602539

Abstract

We study a spectral sequence that computes the S1–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.

Keywords
Batalin–Vilkovisky algebra, string homology, equivariant homology, cyclic homology
Mathematical Subject Classification 2000
Primary: 55N45, 55P35
Secondary: 55N91, 55S91, 55T99
References
Publication
Received: 9 June 2006
Revised: 12 December 2006
Accepted: 3 January 2007
Published: 29 March 2007
Authors
Craig Westerland
University of Wisconsin–Madison
Mathematics Department
480 Lincoln Dr
Madison WI 53706-1388
USA
http://www.math.wisc.edu/~westerla/