40 citations · 146 across the 22 of their papers we have counts for
6 papers · 1 filter
A decoupling property of some Poisson structures on supporting Poisson-Lie symmetry
M. Fairon, L. Feher
We study a holomorphic Poisson structure defined on the linear space that is covariant under t…
Double Multiplicative Poisson Vertex Algebras
Maxime Fairon, Daniele Valeri
We develop the theory of double multiplicative Poisson vertex algebras. These structures, defined at the level of associative algebras, are shown to be such that they induce a clas…
Integrable systems on multiplicative quiver varieties from cyclic quivers
Maxime Fairon
We consider a class of complex manifolds constructed as multiplicative quiver varieties associated with a cyclic quiver extended by an arbitrary number of arrows starting at a new…
Euler continuants in noncommutative quasi-Poisson geometry
Maxime Fairon, David Fernández
It was established by Boalch that Euler continuants arise as Lie group valued moment maps for a class of wild character varieties described as moduli spaces of points on $\mathbb{P…
On the noncommutative Poisson geometry of certain wild character varieties
Maxime Fairon, David Fernández
To show that certain wild character varieties are multiplicative analogues of quiver varieties, Boalch introduced colored multiplicative quiver varieties. They form a class of (non…
Superintegrability of Calogero-Moser systems associated with the cyclic quiver
Maxime Fairon, Tamás Görbe
We study complex integrable systems on quiver varieties associated with the cyclic quiver, and prove their superintegrability by explicitly constructing first integrals. We interpr…