Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 7, Number 1 (2007), 309-325.
String homology of spheres and projective spaces
We study a spectral sequence that computes the –equivariant homology of the free loop space of a manifold (the string homology of ). Using it and knowledge of the BV operations on , we compute the (mod 2) string homology of when is a sphere or a projective space.
Algebr. Geom. Topol., Volume 7, Number 1 (2007), 309-325.
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
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55N45: Products and intersections 55P35: Loop spaces
Secondary: 55N91: Equivariant homology and cohomology [See also 19L47] 55S91: Equivariant operations and obstructions [See also 19L47] 55T99: None of the above, but in this section
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