English

Geometry of differential operators, odd Laplacians, and homotopy algebras

Differential Geometry 2019-01-08 v1 Mathematical Physics math.MP Symplectic Geometry

Abstract

We give a complete description of differential operators generating a given bracket. In particular we consider the case of Jacobi-type identities for odd operators and brackets. This is related with homotopy algebras using the derived bracket construction. (Based on a talk at XXII Workshop on Geometric Methods in Physics at Bialowieza)

Keywords

Cite

@article{arxiv.math/0402292,
  title  = {Geometry of differential operators, odd Laplacians, and homotopy algebras},
  author = {Hovhannes Khudaverdian and Theodore Voronov},
  journal= {arXiv preprint arXiv:math/0402292},
  year   = {2019}
}

Comments

13 pages; LaTeX