Double quasi-Poisson brackets : fusion and new examples
Quantum Algebra
2022-08-24 v2
Abstract
We exhibit new examples of double quasi-Poisson brackets, based on some classification results and the method of fusion. This method was introduced by Van den Bergh for a large class of double quasi-Poisson brackets which are said differential, and our main result is that it can be extended to arbitrary double quasi-Poisson brackets. We also provide an alternative construction for the double quasi-Poisson brackets of Van den Bergh associated to quivers, and of Massuyeau-Turaev associated to the fundamental groups of surfaces.
Keywords
Cite
@article{arxiv.1905.11273,
title = {Double quasi-Poisson brackets : fusion and new examples},
author = {Maxime Fairon},
journal= {arXiv preprint arXiv:1905.11273},
year = {2022}
}
Comments
37pages, 1 figure, including 4 appendices. v2 : minor changes, accepted version