The moment maps in diffeology

DOI10.1090/S0065-9266-10-00582-XzbMath1203.53084OpenAlexW2020809703MaRDI QIDQ3587245

Patrick Iglesias-Zemmour

Publication date: 7 September 2010

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

Full work available at URL: https://doi.org/10.1090/s0065-9266-10-00582-x

zbMATH Keywords

symplectic geometrymoment mapdiffeology

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Global differential geometry (53C99) Symplectic structures of moduli spaces (53D30) Topos-theoretic approach to differentiable manifolds (58A03)

Related Items (6)

Every symplectic manifold is a (linear) coadjoint orbit ⋮ Mayer-Vietoris sequence for generating families in diffeological spaces ⋮ Smooth Homotopy of Infinite-Dimensional 𝐶^{∞}-Manifolds ⋮ Simplicial cochain algebras for diffeological spaces ⋮ Categorified central extensions, étale Lie 2-groups and Lie's third theorem for locally exponential Lie algebras ⋮ Example of singular reduction in symplectic diffeology

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• Dimension in diffeology
• Sur la structure du groupe des difféomorphismes qui preservent une forme symplectique
• Moment maps and diffeomorphisms
• The trilogy of the momentum map
• Iterated path integrals
• Transitivity of the Automorphisms of Certain Geometric Structures

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