"The Complex of Non-Crossing Diagonals of a Polygon"

Benjamin Braun
University of Kentucky

Monday, February 4, 2008
4:00 pm, 112 Patterson Office Tower

Abstract:

Given a convex polygon P, it is well known that there is an associated simplicial complex T(P) with vertices diagonals in P and facets triangulations of P. A theorem of Carl Lee states that T(P) can be realized as the boundary complex of a polytope. We will investigate the homotopy type of T(P) for non-convex polygons using tools from discrete Morse theory. This work is joint with Richard Ehrenborg.