On characteristic classes of Q-manifolds

2006/12/20 by Lyakhovich, S. L., Mosman, E. A., Sharapov, A. A. · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.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 L_Q acting on arbitrary tensor fields. We formulate a classification theorem for intrinsic characteristic classes and give their explicit description.

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