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

Herman, Jonathan

English

arXiv

The final publication is available at Elsevier via https://dx.doi.org/10.1016/j.geomphys.2018.05.001 © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/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 multisymplectic 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

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Existence and Uniqueness of Weak Homotopy Moment Maps

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