Cohomology of skew-holomorphic Lie algebroids

Abstract

We introduce the notion of skew-holomorphic Lie algebroid on a complex manifold, and explore some cohomologies theories that one can associate to it. Examples are given in terms of holomorphic Poisson structures of various sorts.

16 pages. v2: Final version to be published in Theor. Math. Phys. (incorporates only very minor changes)

References in corpus (2)

• Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
• Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras

Cited by in corpus (8)

• Generalized Contact Bundles
• Dirac Sigma Models from Gauging
• Poisson structures on almost complex Lie algebroids
• Lie algebroid cohomology as a derived functor
• Graded geometry in gauge theories and beyond
• Contact structures on Lie algebroids
• On almost complex Lie algebroids
• A heterotic sigma model with novel target geometry