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On characteristic classes of Q-manifolds

S. L. Lyakhovich, E. A. Mosman, A. A. Sharapov

math.QAarXiv:math/0612579

Abstract

We define the notion of characteristic classes for supermanifolds endowed with a homological vector field Q. These take values in the cohomology of the Lie derivative operator LQ acting on arbitrary tensor fields. We formulate a classification theorem for intrinsic characteristic classes and give their explicit description.

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