Algebraic Geometry and Topological Strings Seminar 

18/10/2005, 17:00 — 18:00 — Amphitheatre Pa3, Mathematics Building
João Baptista, Cambridge University

A Topological Gauged Sigma Model

In this talk I will consider non-linear gauged sigma-models with Kahler domain and target. For a special choice of potential these models admit Bogomolny (or self-duality) equations, the so-called symplectic vortex equations. I will then describe a topological field theory that studies the moduli space of solutions of these equations. The correlation functions of the theory are closely related to the recently introduced Hamiltonian Gromov-Witten invariants.

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REFERENCES:

J.M.Baptista, "A Topological Gauged Sigma Model", hep-th/0502152.
K.Cieliebak, A.R.Gaio, I.Mundet i Riera, D.Salamon, "The Symplectic Vortex Equations and Invariants of Hamiltonian Group Actions", math.SG/0111176.