Prof. Dr. Kai Cieliebak (14.00 - 15.00)

Poincare duality for free loop spaces

Abstract: The Chas-Sullivan loop product on the homology of a free loop space
and the Goresky-Hingston product on its cohomology fit together to
a product on a larger space. This space satisfies a kind of Poincare
duality and thus explains various dualities between loop space homology
and cohomology observed over the past years.