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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 165, Number 3, Pages 426–439
DOI: https://doi.org/10.4213/tmf6586
(Mi tmf6586)
 

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
References:
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.
English version:
Theoretical and Mathematical Physics, 2010, Volume 165, Issue 3, Pages 1598–1609
DOI: https://doi.org/10.1007/s11232-010-0132-1
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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\by U.~Bruzzo, V.~N.~Rubtsov
\paper Cohomology of skew-holomorphic Lie algebroids
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\yr 2010
\vol 165
\issue 3
\pages 426--439
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\crossref{https://doi.org/10.4213/tmf6586}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 165
\issue 3
\pages 1598--1609
\crossref{https://doi.org/10.1007/s11232-010-0132-1}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79951689819}
Linking options:
  • https://www.mathnet.ru/eng/tmf6586
  • https://doi.org/10.4213/tmf6586
  • https://www.mathnet.ru/eng/tmf/v165/i3/p426
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :189
    References:52
    First page:7
     
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