Multisymplectic geometry and Lie groupoids
arXiv:1312.6436
Abstract
We study higher-degree generalizations of symplectic groupoids, referred to as {\em multisymplectic groupoids}. Recalling that Poisson structures may be viewed as infinitesimal counterparts of symplectic groupoids, we describe "higher'' versions of Poisson structures by identifying the infinitesimal counterparts of multisymplectic groupoids. Some basic examples and features are discussed.
15 pages; to appear in the book "Geometry, Mechanics and Dynamics: The Legacy of Jerry Marsden", Fields Institute Communications Series