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SUMMARY:A gauge theoretic approach to Einstein 4-manifolds. - Joel Fine
DTSTART:20140128T160000Z
DTEND:20140128T170000Z
UID:TALK49812@talks.cam.ac.uk
CONTACT:Professor Maciej Dunajski
DESCRIPTION: I will describe a new way to formulate Einsteinâs equations 
 on\n4-manifolds\, so that the independent variable is not a Riemannian met
 ric\, but instead an SO(3) connection on an auxiliary bundle.\nThe metric 
 is then determined algebraically from the curvature of the connection. (Th
 is is reminiscent of the way that Maxwellâs\nequations can be thought of 
 as equations for a U(1)-connection\, whose curvature then gives the electr
 o-magnetic field.) This point\nof view gives a new action principle for Ei
 nstein metrics\, discovered by Krasnov\, which is seemingly less problemat
 ic than the\nEinstein-Hilber action. It also reveals a link between Einste
 in 4-manifolds and symplectic manifolds in dimension 6. Finally it\nleads 
 to some interesting open questions which I hope to have time to discuss.
LOCATION:DAMTP\, room MR11
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