University of Sydney Algebra Seminar

Bea Bleile (University of New England)

Friday 1st April, 12.05-12.55pm, Carslaw 275

Connected sums and splitting of PD³-pairs

There are two distinct notions of connected sum for PD³-pairs reflecting the situation of manifolds with boundary. We discuss recent developments concerning the connection between the splitting of the fundamental group of a PD³-pair (X, ðX) as free product and the decomposition of (X, ðX) as interior or boundary connected sum of two PD³-pairs.