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Instantons and lattices of smooth 4-manifolds with boundary

SEMINARS: GAUGE THEORY AND TOPOLOGY, SEMINARS: SYMPLECTIC GEOMETRY

When: March 29, 2019
3:30 pm - 4:30 pm
Where: Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138, United States
Speaker: Chris Scaduto - Simons Center

Given a 3-manifold Y, what are the possible definite intersection forms of smooth 4-manifolds with boundary Y? Donaldson’s theorem says that if Y is the 3-sphere, then all such intersection forms are standard integer Euclidean lattices. I will survey some new progress on this problem, for other 3-manifolds, that comes from instanton Floer theory.