Holonomy of Poisson manifolds and the modular class

DOI10.1007/BF02809901zbMath0991.53055arXivmath/9812153MaRDI QIDQ5935810

Alex Golubev, Viktor L. Ginzburg

Publication date: 1 April 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9812153

zbMATH Keywords

holonomymodular classMorita equivalencePoisson manifolds

Mathematics Subject Classification ID

Related Items (11)

Poisson manifolds with compatible pseudo-metric and pseudo-Riemannian Lie algebras ⋮ Modular classes of skew algebroid relations ⋮ The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation ⋮ Invariants of Lie algebroids ⋮ The modular class of a Poisson map ⋮ Noncommutative geometry of Poisson structures ⋮ Unimodularity criteria for Poisson structures on foliated manifolds ⋮ Morita invariance of intrinsic characteristic classes of Lie algebroids ⋮ Local structure of Koszul-Vinberg and of Lie algebroids ⋮ Reduced Riemannian Poisson manifolds and Riemannian Poisson-Lie groups ⋮ Lie algebroids, holonomy and characteristic classes

Cites Work

• The local structure of Poisson manifolds
• A differential complex for Poisson manifolds
• Morita equivalence of Poisson manifolds
• Foliations: geometric studies
• Lectures on the geometry of Poisson manifolds
• The modular automorphism group of a Poisson manifold
• The outer derivation of a complex Poisson manifold
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
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