Jacobi structures in supergeometric formalismReport as inadecuate



 Jacobi structures in supergeometric formalism


Jacobi structures in supergeometric formalism - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Jacobi structures in supergeometric formalism
We use the supergeometric formalism, more precisely, the so-called -big bracket- for which brackets and anchors are encoded by functions on some graded symplectic manifold to address the theory of Jacobi algebroids and bialgebroids following mainly Iglesias-Marrero and Grabowski-Marmo as a guideline. This formalism is in particular efficient to define the Jacobi-Gerstenhaber algebra structure associated to a Jacobi algebroid, to define its Poissonization, and to express the compatibility condition defining Jacobi bialgebroids. Also, we claim that this supergeometric language gives a simple description of the Jacobi bialgebroid associated to Jacobi structures, and conversely, of the Jacobi structure associated to Jacobi bialgebroid.



Author: Paulo dos Santos Antunes; Camille Laurent-Gengoux

Source: https://archive.org/







Related documents