S. L. Lyakhovich, E. A. Mosman, A. A. Sharapov, “On Characteristic Classes of <nobr>$Q$</nobr>-manifolds”, Funktsional. Anal. i Prilozhen., 2008, Volume 42, Issue 1,Pages <nobr>88

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Brief communications

On Characteristic Classes of $Q$-manifolds

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

Tomsk State University

Abstract: Characteristic classes are defined for supermanifolds equipped with a homological vector field $Q$. We construct an infinite series of characteristic classes defined in terms of the second covariant derivatives of $Q$.

Keywords: homological vector field, $Q$-manifold, characteristic class.

UDC: 515.164.32

Received: 30.05.2006

DOI: 10.4213/faa2895