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3-manifolds that bound no definite 4-manifold

Posted in
Marco Golla
Mon, 2021-02-22 14:00 - 15:00
Parent event: 
MPIM Topology Seminar

Meeting ID: 916 5855 1117
Password: as before.
Contact: Aru Ray and Tobias Barthel.


All 3-manifolds bound 4-manifolds, and many constructions of 3-manifolds automatically come with a 4-manifold bounding it. Often times these 4-manifolds have definite intersection form. Using Heegaard Floer correction terms and an analysis of short characteristic covectors in bimodular lattices, we give an obstruction for a 3-manifold to bound a definite 4-manifold, and produce some concrete examples. This is joint work with Kyle Larson.


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