Double quasi-Poisson brackets: fusion and new examples

Fairon, M. (2021) Double quasi-Poisson brackets: fusion and new examples. Algebras and Representation Theory, 24(4), pp. 911-958. (doi: 10.1007/s10468-020-09974-w)

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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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Fairon, Dr Maxime
Authors: Fairon, M.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Algebras and Representation Theory
ISSN (Online):1572-9079
Published Online:30 June 2020
Copyright Holders:Copyright © 2020 The Author
First Published:First published in Algebras and Representation Theory 24(4): 911-958
Publisher Policy:Reproduced under a Creative Commons licence
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