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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