Colloquium
3:00 p.m., Wednesday (Jan. 22nd)
Math Annex 1100
Donald Stanley
Department of Mathematics & Statistics
University of Ottawa
Lefschetz Duality Revisited
Suppose M is a closed manifold and P\subset M is a polyhedron.
Classical Lefschetz duality can be used to describe H^*(M\setminus P),
the cohomology of the complement M\setminus P, as a graded module.
However H^*(M\setminus P) also has an algebra structure and this
structure can be determined whenever the dimension of P is small
enough when compared to that of M. The methods developed to prove
this are applied to describe the rational homotopy type of the
blowup construction from algebraic geometry. This description
of the rational homotopy type can be used to construct examples
of symplectic nonKahlerian manifolds.
Refreshments will be served at 2:45 p.m. in the Faculty Lounge,
Math Annex (Room 1115).
