40 citations · 146 across the 22 of their papers we have counts for
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math.QA2020★ 8 cited
Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems
Maxime Fairon
Double (quasi-)Poisson algebras were introduced by Van den Bergh as non-commutative analogues of algebras endowed with a (quasi-)Poisson bracket. In this work, we provide a study o…
math.QA2019★ 5 cited
Double quasi-Poisson brackets : fusion and new examples
Maxime Fairon
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 cla…
math.QA2017★ 40 cited
Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models
Oleg Chalykh, Maxime Fairon
We study some classical integrable systems naturally associated with multiplicative quiver varieties for the (extended) cyclic quiver with vertices. The phase space of our inte…