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math.QA2021
On deformation quantization of quadratic Poisson structures
Anton Khoroshkin, Sergei Merkulov
We study the deformation complex of the dg wheeled properad of -graded quadratic Poisson structures and prove that it is quasi-isomorphic to the even M. Kontsevich grap…
math.RT2021
Categorification of DAHA and Macdonald polynomials
Syu Kato, Anton Khoroshkin, Ievgen Makedonskyi
We describe a categorification of the Double Affine Hecke Algebra () associated with an affine Lie algebra , including…