John Shareshian
(Washington University)
No-perfect-matching complexes and related complexes
Abstract The no-perfect-matching complex NPM_{2n} is the abstract simplicial complex whose k-dimensional faces are indexed by all graphs G on vertex set {1,2,...,2n} such that G contains k+1 edges and no perfect matching. I will describe joint work with Svante Linusson and Volkmar Welker on the topology of NPM_{2n} and some closely related complexes and jont work with Michelle Wachs on the representation of the symmetric group S_{2n} on the homology of NPM_{2n} and other related complexes.