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arXiv · 1003.0542

All Stable Characteristic Classes of Homological Vector Fields

E. Mosman·A. Sharapov
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Abstract

An odd vector field $Q$ on a supermanifold $M$ is called homological, if $Q^2=0$. The operator of Lie derivative $L_Q$ makes the algebra of smooth tensor fields on $M$ into a differential tensor algebra. In this paper, we give a complete classification of certain invariants of homological vector fields called characteristic classes. These take values in the cohomology of the operator $L_Q$ and are represented by $Q$-invariant tensors made up of the homological vector field and a symmetric connection on $M$ by means of tensor operations.

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BibTeXRIS

E. Mosman, A. Sharapov. 2010-08-25. All Stable Characteristic Classes of Homological Vector Fields. https://doi.org/10.1007/s11005-010-0434-0

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