Complements of smooth surfaces in simply connected 4-manifolds

Sam Hughes (University of Bonn)

Monday 21st October 16:00-17:00 Maths 311B

Abstract

In this talk based on joint work with Daniel Ruberman I will discuss our recent solution to one of Kronheimer's problems in the 1997 Kirby problem list. More specifically, for each integer n we construct a simply connected 4-manifold admitting a smoothly embedded surface of self intersection number n such that the complement of the surface has non-trivial fundamental group.

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