U. Bruzzo, V. N. Rubtsov, “Cohomology of skew-holomorphic Lie algebroids”, TMF, 2010, Volume 165, Number 3,Pages <nobr>426

This article is cited in 14 papers

Cohomology of skew-holomorphic Lie algebroids

U. Bruzzo^ab, V. N. Rubtsov^cd

^a International School for Advanced Studies, Trieste, Italy
^b National Institute of Nuclear Physics, Sezione di Trieste, Italy
^c Institute for Theoretical and Experimental Physics, Moscow, Russia
^d Université d'Angers, Département de Mathématiques LAREMA, VFR Sciences, Angers, France

Abstract: We introduce the notion of a skew-holomorphic Lie algebroid on a complex manifold and explore some cohomology theories that can be associated with it. We present examples and applications of this notion in terms of different types of holomorphic Poisson structures.

Keywords: holomorphic Lie algebroid, matching pair of Lie algebroids, Lie algebroid cohomology, holomorphic Poisson cohomology.

DOI: 10.4213/tmf6586