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Circle-invariant definite connections and symplectic Fano 6-manifolds

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GTAW01 - General relativity: from geometry to amplitudes

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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