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Circle-invariant definite connections and symplectic Fano 6-manifolds

Presented by: 
Dmitri Panov King's College London
Date: 
Monday 27th June 2016 - 16:00 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
The talk will be based on a joint work with Joel Fine. A definite connection on  a four manifold consists of a rank three Euclidean bundle with a metric connection whose curvature is maximally non-degenerate. I will explain why only the four sphere and the complex projective plane admit a definite connection with circle symmetry. The proof relies on properties of Hamiltonian S^1 actions on symplectic manifolds.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons