\(Q\)-manifolds and Mackenzie theory
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Publication:1758207
DOI10.1007/s00220-012-1568-yzbMath1261.53080arXiv1206.3622OpenAlexW3103891335MaRDI QIDQ1758207
Publication date: 8 November 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.3622
Poisson manifolds; Poisson groupoids and algebroids (53D17) Pseudogroups and differentiable groupoids (58H05)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- From Poisson algebras to Gerstenhaber algebras
- Duality functors for triple vector bundles
- Coisotropic calculus and Poisson groupoids
- Locally vacant double Lie groupoids and the integration of matched pairs of Lie algebroids
- Double Lie algebroids and second-order geometry. I
- Lie bialgebroids and Poisson groupoids
- Manin triples for Lie bialgebroids
- Double Lie algebroids and second-order geometry. II
- Exact Gerstenhaber algebras and Lie bialgebroids
- Integration of Lie bialgebroids
- Ehresmann doubles and Drinfel'd doubles for Lie algebroids and Lie bialgebroids
- Lie algebroids and homological vector fields
- Drinfel’d doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids
- Symplectic groupoids and Poisson manifolds
- Tangent Lie algebroids
- ON SYMPLECTIC DOUBLE GROUPOIDS AND THE DUALITY OF POISSON GROUPOIDS
