Local formulas for multiplicative forms
arXiv:1809.01546 · doi:10.1007/s00031-020-09607-y
Abstract
We provide explicit formulas for integrating multiplicative forms on local Lie groupoids in terms of infinitesimal data. Combined with our previous work [8], which constructs the local Lie groupoid of a Lie algebroid, these formulas produce concrete integrations of several geometric stuctures defined infinitesimally. In particular, we obtain local integrations and non-degenerate realizations of Poisson, Nijenhuis-Poisson, Dirac, and Jacobi structures by local symplectic, symplectic-Nijenhuis, presymplectic, and contact groupoids, respectively.
29 pages, this is the second part of an original longer paper that was split into two parts (the first part is in arXiv:1703.04411v2 [math.DG]). Transformation Groups (2020)