Cohomology of skew-holomorphic Lie algebroids

Authors :: Ugo Bruzzo
Vladimir Rubtsov
Roubtsov, Vladimir
Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies (SISSA / ISAS)
Laboratoire Angevin de Recherche en Mathématiques (LAREMA)
Université d'Angers (UA)-Centre National de la Recherche Scientifique (CNRS)
MATHPYL
PICS
Publication Year :: 2010
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.<br />16 pages. v2: Final version to be published in Theor. Math. Phys. (incorporates only very minor changes)

Subjects :: Lie algebroid
Mathematics - Differential Geometry
Pure mathematics
Holomorphic function
Poisson distribution
01 natural sciences
symbols.namesake
Mathematics - Algebraic Geometry
Mathematics::K-Theory and Homology
0103 physical sciences
FOS: Mathematics
0101 mathematics
Complex Variables (math.CV)
Algebraic Geometry (math.AG)
Mathematics::Symplectic Geometry
Mathematical Physics
Mathematics
010308 nuclear & particles physics
Mathematics::Complex Variables
Mathematics - Complex Variables
010102 general mathematics
[MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG]
Skew
[MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV]
Statistical and Nonlinear Physics
16. Peace & justice
Cohomology
[MATH.MATH-SG]Mathematics [math]/Symplectic Geometry [math.SG]
[MATH.MATH-SG] Mathematics [math]/Symplectic Geometry [math.SG]
Differential Geometry (math.DG)
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
Mathematics - Symplectic Geometry
[MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV]
symbols
Symplectic Geometry (math.SG)
32C35, 53D17, 55N30
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Settore MAT/03 - Geometria
Complex manifold
[MATH.MATH-DG] Mathematics [math]/Differential Geometry [math.DG]

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