Semirigid Geometry

Abstract

We provide an intrinsic description of N-super s and TN-\ surfaces. Semirigid surfaces occur naturally in the description of topological gravity as well as topological supergravity. We show that such surfaces are obtained by an integrable reduction of the structure group of a complex supermanifold. We also discuss the moduli spaces of TN-\ surfaces and their relation to the moduli spaces of N-\ s.

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