English

Existence and Uniqueness of Weak Homotopy Moment Maps

Symplectic Geometry 2018-05-11 v2

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

Keywords

Cite

@article{arxiv.1711.02572,
  title  = {Existence and Uniqueness of Weak Homotopy Moment Maps},
  author = {Jonathan Herman},
  journal= {arXiv preprint arXiv:1711.02572},
  year   = {2018}
}

Comments

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