Existence and uniqueness of weak homotopy moment maps

DOI10.1016/j.geomphys.2018.05.001zbMath1392.53090arXiv1711.02572OpenAlexW2767335890WikidataQ129846443 ScholiaQ129846443MaRDI QIDQ1641864

Jonathan Herman

Publication date: 20 June 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02572

zbMATH Keywords

Lie algebra cohomologymultisymplectic geometryChevalley-Eilenberg complex

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Cohomology of Lie (super)algebras (17B56)

Related Items (4)

Reduction of multisymplectic manifolds ⋮ A HYDRODYNAMICAL HOMOTOPY CO-MOMENTUM MAP AND A MULTISYMPLECTIC INTERPRETATION OF HIGHER-ORDER LINKING NUMBERS ⋮ Bryant-Salamon \(\mathrm{G}_2\) manifolds and coassociative fibrations ⋮ Quantization of polysymplectic manifolds

Cites Work

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• Homotopy moment maps
• \(L _{\infty }\)-algebras from multisymplectic geometry
• A cohomological framework for homotopy moment maps
• Multi-moment maps
• Noether's theorem in multisymplectic geometry
• Existence and unicity of co-moments in multisymplectic geometry
• Lectures on symplectic geometry

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