Lie groupoids of mappings taking values in a Lie groupoid

DOI10.5817/AM2020-5-307OpenAlexW2900122958MaRDI QIDQ5140387

Helge Glöckner, Habib Amiri, Alexander Schmeding

Publication date: 15 December 2020

Published in: Archivum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.02888

zbMATH Keywords

embeddingperfect mapLie groupoidtransitivityimmersionproper mapLie algebroidNemytskii operatorétale maptopological groupoidlocal diffeomorphismsubmersionsuperposition operatorlocal transitivityorbifold groupoidlocal trivialitymanifold of mappingspushforwardcurrent groupoidmapping groupoidStacey-Roberts Lemma

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Manifolds of mappings (58D15) Manifolds of mappings (46T10)

Related Items (5)

Lie theory for asymptotic symmetries in general relativity: The NU group ⋮ Direct limits of regular Lie groups ⋮ Incompressible Euler equations with stochastic forcing: a geometric approach ⋮ Lie theory for asymptotic symmetries in general relativity: The BMS group ⋮ Manifolds of mappings on Cartesian products

Cites Work

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• (Re)constructing Lie groupoids from their bisections and applications to prequantisation
• Orbifolds as stacks?
• Lie group structures on groups of smooth and holomorphic maps on non-compact manifolds
• Towards a Lie theory of locally convex groups
• Differential calculus in locally convex spaces
• Orbifolds, sheaves and groupoids
• Integrability of Lie brackets
• The smooth Hom-stack of an orbifold
• A group of continuous self-maps on a topological groupoid
• Banach-Lie groupoids and generalized inversion
• Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
• Diffeomorphism groups of compact convex sets
• Differentiable mappings on products with different degrees of differentiability in the two factors
• The Lie group of bisections of a Lie groupoid
• The category of reduced orbifolds in local charts
• Strong topologies for spaces of smooth maps with infinite-dimensional target
• The Banach manifold $C^{k}(M,N)$
• Applications différentiables et variétés différentiables de dimension infinie
• Differential calculus over general base fields and rings.
• Orbispaces and Their Mapping Spaces via Groupoids: A Categorical Approach
• ON A NOTION OF MAPS BETWEEN ORBIFOLDS I: FUNCTION SPACES
• Groupoids in categories with pretopology
• Semi-bounded unitary representations of infinite-dimensional Lie groups
• The inverse function theorem of Nash and Moser
• Smooth loop stacks of differentiable stacks and gerbes
• The diffeomorphism group of a non-compact orbifold
• A differentiable monoid of smooth maps on Lie groupoids
• Shorter Notes: When Proper Maps are Closed

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