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SUMMARY:The non-local vortex equations and gauged Gromov-Witten invariants
  - Andreas Ott\, IHES
DTSTART:20110518T150000Z
DTEND:20110518T160000Z
UID:TALK30968@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Gauged Gromov-Witten invariants for symplectic manifolds equip
 ped with a Hamiltonian Lie group action are defined by counting solutions 
 of the symplectic vortex equations.  They were introduced by Cieliebak\, G
 aio\, and Salamon for actions of arbitrary compact Lie groups on aspherica
 l manifolds and by Mundet i Riera for semi-free circle actions on compact 
 monotone manifolds.  The main reason for the additional technical assumpti
 ons are complications in obtaining transversality.  In this talk\, I will 
 present a perturbation scheme for the vortex equations that solves these t
 ransversality problems in a natural way\, and explain how to define gauged
  Gromov-Witten invariants for actions of arbitrary compact Lie groups on m
 onotone symplectic manifolds.\n
LOCATION:MR13
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