## Algebraic & Geometric Topology

### String homology of spheres and projective spaces

Craig Westerland

#### 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.

#### Article information

Source
Algebr. Geom. Topol., Volume 7, Number 1 (2007), 309-325.

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

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513796670

Digital Object Identifier
doi:10.2140/agt.2007.7.309

Mathematical Reviews number (MathSciNet)
MR2308947

Zentralblatt MATH identifier
1143.55004

#### Citation

Westerland, Craig. String homology of spheres and projective spaces. Algebr. Geom. Topol. 7 (2007), no. 1, 309--325. doi:10.2140/agt.2007.7.309. https://projecteuclid.org/euclid.agt/1513796670

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