Quasi-Lie bialgebroids, Dirac structures, and deformations of Poisson quasi-Nijenhuis manifolds

DOI10.1007/S00574-024-00400-ZzbMATH Open1548.53098MaRDI QIDQ6565548

M. do Nascimento Luiz, Marco Pedroni, Igor Mencattini

Publication date: 2 July 2024

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

zbMATH Keywords

deformationsDirac structuresCourant algebroidsDorfman bracketPoisson quasi-Nijenhuis manifoldsquasi-Lie algebroids

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17)

Cites Work

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• Nijenhuis geometry
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• Poisson quasi-Nijenhuis deformations of the canonical PN structure
• Calculus on Lie algebroids, Lie groupoids and Poisson manifolds
• REDUCTION AND CONSTRUCTION OF POISSON QUASI-NIJENHUIS MANIFOLDS WITH BACKGROUND
• Dirac Manifolds
• The first Pontryagin class

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