41 citations · 87 across the 11 of their papers we have counts for
9 papers · 1 filter
Functorial constructions related to double Poisson vertex algebras
Tristan Bozec, Maxime Fairon, Anne Moreau
For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation…
Calabi-Yau structures on (quasi-)bisymplectic algebras
Tristan Bozec, Damien Calaque, Sarah Scherotzke
We show that relative Calabi--Yau structures on noncommutative moment maps give rise to (quasi-)bisymplectic structures, as introduced by Crawley-Boevey-Etingof-Ginzburg (in the ad…
MV Polytopes and Masures
Tristan Bozec, Stéphane Gaussent
We realize affine Mirkovi{ć}-Vilonen polytopes using Littelmann's path model in the framework of masures. We are also able to read the decorations on the paths in the case of sl2.
Calabi-Yau structures for multiplicative preprojective algebras
Tristan Bozec, Damien Calaque, Sarah Scherotzke
In this paper we deal with Calabi-Yau structures associated with (differential graded versions of) deformed multiplicative preprojective algebras, of which we provide concrete alge…
Relative critical loci and quiver moduli
Tristan Bozec, Damien Calaque, Sarah Scherotzke
In this paper we identify the cotangent to the derived stack of representations of a quiver with the derived moduli stack of modules over the Ginzburg dg-algebra associated wit…
Addendum to "Quivers with loops and perverse sheaves"
Tristan Bozec
We prove a character formula for the Hopf algebra defined in arXiv:1401.5302 that generalizes quantum groups, as well as for the simple modules associated to dominant integral weig…
Quivers with loops and generalized crystals
Tristan Bozec
In the context of varieties of representations of arbitrary quivers, possibly carrying loops, we define a generalization of Lusztig Lagrangian subvarieties. From the combinatorial…
Quivers with loops and perverse sheaves
Tristan Bozec
In this article we consider the general definition of Lustig sheaves for arbitrary quivers, possibly carrying loops. We answer a conjecture raised by Lusztig asking if the more "si…
Quivers with loops and Lagrangian subvarieties
Tristan Bozec
In this article we define a generalization of Lusztig Lagrangian varieties in the case of arbitrary quivers, possibly carrying loops. As opposed to the Lagrangian varieties constru…