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SUMMARY:Circle invariant definite connection and symplectic Fano six-manif
 olds - Joel Fine\, Bruxelles
DTSTART:20140129T160000Z
DTEND:20140129T170000Z
UID:TALK49815@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION: I will describe work in progress\, joint with Dmitri Panov. A
  definite connection is an SO(3) connection over a 4-manifold\, whose curv
 ature is non-zero on every tangent 2-plane. Given such a connection\, the 
 associated 2-sphere bundle is naturally a symplectic manifold. In this tal
 k I will be interested in definite connections invariant under a circle ac
 tion\, in which case the corresponding symplectic six-manifold is “Fano"
 . I will explain how we hope to classify them\, the only possibilities sho
 uld be connections over S4 or CP2 giving Fanos CP3 and the complete flag o
 n C3 respectively. \n
LOCATION:MR13
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