3 papers
math.AT2007
String topology prospectra and Hochschild cohomology
Kate Gruher, Craig Westerland
We study string topology for classifying spaces of connected compact Lie groups, drawing connections with Hochschild cohomology and equivariant homotopy theory. First, for a compac…
math.AT2006
A duality between string topology and the fusion product in equivariant K-theory
Kate Gruher
Let G be a compact Lie group. Let E be a principal G-bundle over a closed manifold M, and Ad(E) its adjoint bundle. In this paper we describe a new Frobenius algebra structure on h…
math.AT2005
String topology of Poincare duality groups
Hossein Abbaspour, Ralph Cohen, Kate Gruher
Let G be a Poincare duality group of dimension n. For a given element g in G, let C_g denote its centralizer subgroup. Let L_G be the graded abelian group defined by (L_G)_p = oplu…