English

On characteristic classes of Q-manifolds

Quantum Algebra 2007-05-23 v3 Differential Geometry

Abstract

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

Keywords

Cite

@article{arxiv.math/0612579,
  title  = {On characteristic classes of Q-manifolds},
  author = {S. L. Lyakhovich and E. A. Mosman and A. A. Sharapov},
  journal= {arXiv preprint arXiv:math/0612579},
  year   = {2007}
}

Comments

5 pages, v2 a reference corrected

R2 v1 2026-07-22T17:48:07.468Z