21 citations · 29 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…
Generalized string topology operations
Kate Gruher, Paolo Salvatore
We show that the Chas-Sullivan loop product, a combination of the Pontrjagin product on the fiber and intersection product on the base, makes sense on the total space homology of a…
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…