University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Circle invariant definite connection and symplectic Fano six-manifolds

Circle invariant definite connection and symplectic Fano six-manifolds

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  • UserJoel Fine, Bruxelles
  • ClockWednesday 29 January 2014, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Ivan Smith.

I will describe work in progress, joint with Dmitri Panov. A definite connection is an SO(3) connection over a 4-manifold, whose curvature is non-zero on every tangent 2-plane. Given such a connection, the associated 2-sphere bundle is naturally a symplectic manifold. In this talk I will be interested in definite connections invariant under a circle action, in which case the corresponding symplectic six-manifold is “Fano”. I will explain how we hope to classify them, the only possibilities should be connections over S4 or CP2 giving Fanos CP3 and the complete flag on C3 respectively.

This talk is part of the Differential Geometry and Topology Seminar series.

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