Existence and Uniqueness of Weak Homotopy Moment Maps

Abstract

In this paper we show that the classical results on the existence and uniqueness of moment maps in symplectic geometry generalize directly to weak homotopy moment maps in multisym- plectic geometry. In particular, we show that their existence and uniqueness is governed by a Lie algebra cohomology complex which reduces to the Chevalley-Eilenberg complex in the symplectic setup

Incorporated the referee's suggestions and fixed some typos. To appear in Journal of Geometry and Physics

References in corpus (1)

• Noether's Theorem in Multisymplectic Geometry

Cited by in corpus (8)

• Reduction of multisymplectic manifolds
• Noether's Theorem in Multisymplectic Geometry
• Bryant-Salamon ${\mathrm{G}}_2$ manifolds and coassociative fibrations
• Quantization of Polysymplectic Manifolds
• Weak Moment Maps in Multisymplectic Geometry
• A hydrodynamical homotopy co-momentum map and a multisymplectic interpretation of higher order linking numbers
• Reduction of $L_{\infty }$-Algebras of Observables on Multisymplectic Manifolds
• Multisymplectic actions of compact Lie groups on spheres