Cohomology of skew-holomorphic Lie algebroids
Ugo Bruzzo, Vladimir Rubtsov
TL;DR
This paper introduces skew-holomorphic Lie algebroids on complex manifolds and explores associated cohomology theories, with examples related to holomorphic Poisson structures.
Contribution
It defines skew-holomorphic Lie algebroids and develops their cohomology theories, expanding the mathematical framework for complex geometry and Poisson structures.
Findings
Defined skew-holomorphic Lie algebroids
Developed cohomology theories for these algebroids
Provided examples involving holomorphic Poisson structures
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models