12 citations · 147 across the 45 of their papers we have counts for
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Creating quantum projective spaces by deforming q-symmetric algebras
Mykola Matviichuk, Brent Pym, Travis Schedler
We construct a large collection of "quantum projective spaces", in the form of Koszul, Calabi-Yau algebras with the Hilbert series of a polynomial ring. We do so by starting with t…
Curved infinity-algebras and their characteristic classes
Andrey Lazarev, Travis Schedler
In this paper we study a natural extension of Kontsevich's characteristic class construction for A-infinity and L-infinity algebras to the case of curved algebras. These define hom…
Differential operators and BV structures in noncommutative geometry
Victor Ginzburg, Travis Schedler
We introduce a new formalism of differential operators for a general associative algebra A. It replaces Grothendieck's notion of differential operator on a commutative algebra in s…
Poisson algebras and Yang-Baxter equations
Travis Schedler
We connect generalizations of Poisson algebras with the classical and associative Yang-Baxter equations. In particular, we prove that solutions of the classical Yang-Baxter equatio…
Moyal quantization and stable homology of necklace Lie algebras
Victor Ginzburg, Travis Schedler
We compute the stable homology of necklace Lie algebras associated with quivers and give a construction of stable homology classes from certain -categories. Our construct…
Moyal quantization of necklace Lie algebras
Victor Ginzburg, Travis Schedler
We use Moyal-type formulas to construct a Hopf algebra quantization of the necklace Lie bialgebra associated with a quiver.