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2007 String homology of spheres and projective spaces
Craig Westerland
Algebr. Geom. Topol. 7(1): 309-325 (2007). DOI: 10.2140/agt.2007.7.309

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.

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Craig Westerland. "String homology of spheres and projective spaces." Algebr. Geom. Topol. 7 (1) 309 - 325, 2007. https://doi.org/10.2140/agt.2007.7.309

Information

Received: 9 June 2006; Revised: 12 December 2006; Accepted: 3 January 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1143.55004
MathSciNet: MR2308947
Digital Object Identifier: 10.2140/agt.2007.7.309

Subjects:
Primary: 55N45, 55P35
Secondary: 55N91, 55S91, 55T99

Rights: Copyright © 2007 Mathematical Sciences Publishers

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