University of Toronto's Symplectic Geometry Seminar

January 18, 2010, 2:10 pm
Bahen 6183

Matthias Franz

University of Western Ontario

Homotopy Gerstenhaber algebras and toric topology


Toric manifolds, moment-angle complexes and Davis-Januszkiewicz spaces are of prime importance in toric topology; recently their loop spaces have attracted a lot of interest as well. In my talk I want to link the study of these spaces to the theory of homotopy Gerstenhaber algebras. Specifically, I will explain how many results about the (co)homology of these spaces (both old and new) follow easily from the fact that a certain homotopy Gerstenhaber algebra is formal.