Mathematical Physics Seminar
Monday 31.V.2010
Time: 16:00-17:00
Room: 0089
Instytut Matematyki, ul. Łojasiewicza 6, 30-348 Kraków
Ignasi Mundet i Riera
(Universitat de Barcelona, Spain)
Twisted holomorphic maps on cylinders and gradient flow lines
Abstract:
We will recall the definition of twisted holomorphic maps (a.k.a. gauged
holomorphic maps) and we will explain how twisted holomorphic maps of
energy converging to zero converge to gradient flow lines (or, more
generaly, chains of gradient lines), and how this convergence is reflected
in gluing formulas for Hamiltonian Gromov-Witten invariants. If time
permits, we will explain how to perturb in a compatible way the equations
defining twisted holomorphic maps and those defining gradient lines.
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