The University of Michigan Combinatorics Seminar
Winter 2001
April 13, 4:10-5:00, 3866 East Hall





Topology and combinatorics of subspace arrangements

Mark de Longueville

University of Minnesota




Abstract

A broad variety of topological invariants associated with a subspace arrangement can be determined using only a few combinatorial data. We will start out with some classical results on the homology and homotopy type of the link of an arrangement. We will then sketch how a careful analysis of these results leads to a completely combinatorial description of the cohomology ring of the complement of an arrangement.