The non-local vortex equations and gauged Gromov-Witten invariants

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• Andreas Ott, IHES
• Wednesday 18 May 2011, 16:00-17:00
• MR13.

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Gauged Gromov-Witten invariants for symplectic manifolds equipped with a Hamiltonian Lie group action are defined by counting solutions of the symplectic vortex equations. They were introduced by Cieliebak, Gaio, and Salamon for actions of arbitrary compact Lie groups on aspherical manifolds and by Mundet i Riera for semi-free circle actions on compact monotone manifolds. The main reason for the additional technical assumptions are complications in obtaining transversality. In this talk, I will present a perturbation scheme for the vortex equations that solves these transversality problems in a natural way, and explain how to define gauged Gromov-Witten invariants for actions of arbitrary compact Lie groups on monotone symplectic manifolds.

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

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