The cohomology ring of free loop spaces
The cohomology ring of free loop spaces
Let X be a simply connected space and k a commutative ring.Goodwillie, Burghelea and Fiedorowicz proved that the Hochschild cohomology of the singular chains on the space of pointed loops HH * S * (ΩX) is isomorphic to the free loop space cohomology H * (X S 1 ).We prove …