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This article is cited in 14 scientific papers (total in 14 papers)
Cohomology of skew-holomorphic Lie algebroids
U. Bruzzoab, V. N. Rubtsovcd 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.
Citation:
U. Bruzzo, V. N. Rubtsov, “Cohomology of skew-holomorphic Lie algebroids”, TMF, 165:3 (2010), 426–439; Theoret. and Math. Phys., 165:3 (2010), 1598–1609
Linking options:
https://www.mathnet.ru/eng/tmf6586https://doi.org/10.4213/tmf6586 https://www.mathnet.ru/eng/tmf/v165/i3/p426
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Abstract page: | 407 | Full-text PDF : | 189 | References: | 52 | First page: | 7 |
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