Smooth Lie group actions are parametrized diffeological subgroups

DOI10.1090/S0002-9939-2011-11301-7zbMath1237.58011arXiv1012.0107WikidataQ115289259 ScholiaQ115289259MaRDI QIDQ3116563

Yael Karshon, Patrick Iglesias-Zemmour

Publication date: 24 February 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.0107

zbMATH Keywords

group of diffeomorphismsdiffeologydiffeological spacediffeological groupfunctional diffeology

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group structures and generalizations on infinite-dimensional manifolds (58B25) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (3)

Hamiltonian group actions on exact symplectic manifolds with proper momentum maps are standard ⋮ Regularity via minors and applications to conformal maps ⋮ Basic forms and orbit spaces: a diffeological approach

Cites Work

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• Infinite dimensional Lie transformation groups
• A compact symplectic four-manifold admits only finitely many inequivalent toric actions
• On Automorphisms of A Kählerian Structure

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