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S.Natanzon

  1. Generalized Topological Field Theories from Group Representations.

    Wed, 10/21/2009 - 14:15 — SomNambul
    Authors: S.Natanzon, S.Loktev
    Subjects: Representation Theory
    Abstract

    We show that any complex (respectively real) representation of finite group
    naturally generates a Open-Closed (respectively Klein) Topological Field Theory
    over complex numbers. We relate the 1-point correlator for the projective plane
    in this theory with the Frobenius-Schur indicator on the representation.

  2. Universal Algebras of Hurwitz Numbers.

    Tue, 09/08/2009 - 12:16 — SomNambul
    Authors: A.Mironov, A.Morozov, S.Natanzon
    Subjects: Geometric Topology
    Abstract

    Infinite-dimensional universal Cardy-Frobenius algebra is constructed, which
    unifies all particular algebras of closed and open Hurwitz numbers and is
    closely related to the algebra of differential operators, familiar from the
    theory of Generalized Kontsevich Model.

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