Calabi–Yau structures for multiplicative preprojective algebras
T Bozec, D Calaque, S Scherotzke - Journal of Noncommutative …, 2023 - ems.press
In this paper, we deal with Calabi–Yau structures associated with (differential graded
versions of) deformed multiplicative preprojective algebras, of which we provide concrete …
versions of) deformed multiplicative preprojective algebras, of which we provide concrete …
Morphisms of double (quasi-) Poisson algebras and action-angle duality of integrable systems
M Fairon - Annales Henri Lebesgue, 2022 - numdam.org
Double (quasi-) Poisson algebras were introduced by Van den Bergh as noncommutative
analogues of algebras endowed with a (quasi-) Poisson bracket. In this work, we provide a …
analogues of algebras endowed with a (quasi-) Poisson bracket. In this work, we provide a …
Balanced infinitesimal bialgebras, double Poisson gebras and pre-Calabi-Yau algebras
A Quesney - arXiv preprint arXiv:2312.14893, 2023 - arxiv.org
We consider the properad that governs the balanced infinitesimal bialgebras equipped with
a coproduct of degree $1-d $. This properad naturally encodes a tiny part of the structure of …
a coproduct of degree $1-d $. This properad naturally encodes a tiny part of the structure of …
On the noncommutative Poisson geometry of certain wild character varieties
M Fairon, D Fernández - arXiv preprint arXiv:2103.10117, 2021 - arxiv.org
To show that certain wild character varieties are multiplicative analogues of quiver varieties,
Boalch introduced colored multiplicative quiver varieties. They form a class of …
Boalch introduced colored multiplicative quiver varieties. They form a class of …