MIT Combinatorics Seminar
Topology and combinatorics of boundary manifolds of arrangements
(Louisiana State University)
Friday, January 28, 2005
4:15 pm Room 2-338
In 1980, Orlik and Solomon proved that the cohomology ring of the
complement of a complex hyperplane arrangement is determined by
the intersection poset of the arrangement. The relationship
between combinatorial and topological aspects of arrangements has
subsequently become a focal point of the subject. In this talk,
we investigate the extent to which the topology of the boundary
manifold of an arrangement is combinatorially determined.
Specifically, we discuss an analogue of the Orlik-Solomon theorem
for the boundary manifold.