English

Gauge transformations of Jacobi structures and contact groupoids

Mathematical Physics 2019-03-27 v2 Differential Geometry math.MP Symplectic Geometry

Abstract

We define gauge transformations of Jacobi structures on a manifold. This is related to gauge transformations of Poisson structures via the Poissonization. Finally, we discuss how the contact structure of a contact groupoid is effected by a gauge transformation of the Jacobi structure on its base.

Keywords

Cite

@article{arxiv.1801.06681,
  title  = {Gauge transformations of Jacobi structures and contact groupoids},
  author = {Apurba Das},
  journal= {arXiv preprint arXiv:1801.06681},
  year   = {2019}
}

Comments

18 pages, revised version, comments are welcome