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Cohomology of skew-holomorphic lie algebroids

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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.

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Authors and Affiliations

  1. Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy

    U. Bruzzo

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, Trieste, Italy

    U. Bruzzo

  3. Département de Mathématiques LAREMA, VFR Sciences, Université d’Angers, Angers, France

    V. N. Rubtsov

  4. Institute for Theoretical and Experimental Physics, Moscow, Russia

    V. N. Rubtsov

Authors
  1. U. Bruzzo
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  2. V. N. Rubtsov
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 165, No. 3, pp. 426–439, December, 2010.

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Bruzzo, U., Rubtsov, V.N. Cohomology of skew-holomorphic lie algebroids. Theor Math Phys 165, 1598–1609 (2010). https://doi.org/10.1007/s11232-010-0132-1

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  • DOI: https://doi.org/10.1007/s11232-010-0132-1

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