# On contractible (n + 3)-manifolds

## Location

383N

Event Series

Event Type

Seminar

Tuesday, May 30, 2023 4:00 PM

Geunyoung Kim (University of Georgia)

In 1961, Mazur constructed a contractible, compact, smooth 4-manifold with boundary which is not homeomorphic to the standard 4-ball. In this talk, for any integer n ≥ 2 we construct a contractible, compact, smooth (n + 3)-manifold with boundary which is not homeomorphic to the standard (n + 3)-ball.