Cohomology of skew-holomorphic Lie algebroids

Ugo Bruzzo (1) , Vladimir Rubtsov (2)

1 SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

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.

Domaines: Variables complexes [math.CV]; Géométrie algébrique [math.AG]; Géométrie différentielle [math.DG]; Géométrie symplectique [math.SG]

Ugo Bruzzo, Vladimir Rubtsov. Cohomology of skew-holomorphic Lie algebroids. 2010. ⟨hal-00619671⟩