Corks and automorphisms of 3-manifolds

Name: Work Video:
Duration: 3 min 30 s
Description: We investigate two specific contractible manifolds (one Stein, and the other non-Stein) whose boundaries have non-trivial mapping class groups. In both cases we show that every diffeomorphism of their boundary extends to a diffeomorphism of the full manifold. In particular, these manifolds cannot be corks. The methods are a mix of 3 and 4-manifold techniques.
Selman Akbulut; Daniel Ruberman
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