String homology of spheres and projective spaces

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Abstract

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.

Original languageEnglish (US)
Pages (from-to)309-325
Number of pages17
JournalAlgebraic and Geometric Topology
Volume7
Issue number1
DOIs
StatePublished - 2007

Keywords

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

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