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math.CV2010★ 21 cited
Cohomology of skew-holomorphic Lie algebroids
Ugo Bruzzo, Vladimir Rubtsov
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…
math.CV2009
On localization in holomorphic equivariant cohomology
Ugo Bruzzo, Vladimir Rubtsov
We prove a localization formula for a "holomorphic equivariant cohomology" attached to the Atiyah algebroid of an equivariant holomorphic vector bundle. This generalizes Feng-Ma, C…