7 citations · 35 across the 21 of their papers we have counts for
21 papers
Biquantization of the necklace Lie bialgebra
Xiaojun Chen, Maozhou Huang, Meiliang Liu +1
For the double of a quiver, the works of Ginzburg, Bocklandt-Le Bruyn and Schedler show that its closed paths, called the necklaces, have a natural Lie bialgebra structure. Schedle…
Deformation and quantization of the Loday-Quillen-Tsygan isomorphism for Calabi-Yau categories
Xiaojun Chen, Farkhod Eshmatov, Maozhou Huang
For an associative algebra , the famous theorem of Loday, Quillen and Tsygan says that there is an isomorphism between the graded symmetric product of the cyclic homology of …
Quantization of the minimal nilpotent orbits and the quantum Hikita conjecture
Xiaojun Chen, Weiqiang He, Sirui Yu
We show that the specialized quantum D-module of the equivariant quantum cohomology ring of the minimal resolution of an ADE singularity is isomorphic to the D-module of graded tra…
Holomorphic Koszul-Brylinski homologies of Poisson blow-ups
Xiaojun Chen, Youming Chen, Song Yang +1
We derive a blow-up formula for holomorphic Koszul-Brylinski homologies of compact holomorphic Poisson manifolds. As applications, we investigate the invariance of the -dege…
Tilting objects in singularity categories of toric Gorenstein varieties
Xiaojun Chen, Leilei Liu, Jieheng Zeng
We study certain toric Gorenstein varieties with isolated singularities which are the quotient spaces of generic unimodular representations by the one-dimensional torus, or by the…
Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry
Xiaojun Chen, Leilei Liu, Sirui Yu +1
We study the ``twisted" Poincaré duality of smooth Poisson manifolds, and show that, if the modular vector field is diagonalizable, then there is a mixed complex associated to the…