\(n\)-transitivity of bisection groups of a Lie groupoid

DOI10.1007/S10114-017-6125-3zbMath1373.53104arXiv1603.01537OpenAlexW2962694682WikidataQ115385204 ScholiaQ115385204MaRDI QIDQ2404093

Tomasz Rybicki

Publication date: 12 September 2017

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01537

zbMATH Keywords

Lie groupoidlocalitysymplectic groupoidbisection\(n\)-transitivityLagrangian bisection

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Pseudogroups and differentiable groupoids (58H05)

Cites Work

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• Towards a Lie theory of locally convex groups
• On the existence of global bisections of Lie groupoids
• Lectures on the geometry of Poisson manifolds
• Pseudo-\(n\)-transitivity of the automorphism group of a geometric structure
• The Lie group of bisections of a Lie groupoid
• Accessible Sets, Orbits, and Foliations with Singularities
• Symplectic groupoids and Poisson manifolds
• $n$-transitivity of certain diffeomorphism groups
• Transitivity of the Automorphisms of Certain Geometric Structures

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