Operadic Hochschild chain complex and free loop spaces

Details Operadic Hochschild chain complex and free loop spaces Operadic Hochschild chain complex and free loop spaces

2002-11-26

arxiv.org/abs/math/0211415v4

Mathematics

Algebraic Topology

13 pages

Scientific paper

We construct for any algebra over an operad an Hochschild chain complex. In
the case of the singular cochain complex of a topological space, considered as
a commutative algebra up to homotopy, we show that this complex computes the
singular cohomology of the free loop space over this topological space.

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