12 citations · 147 across the 45 of their papers we have counts for
5 papers · 1 filter
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…
Calabi-Yau Frobenius algebras
Ching-Hwa Eu, Travis Schedler
We define Calabi-Yau and periodic Frobenius algebras over arbitrary base commutative rings. We define a Hochschild analogue of Tate cohomology, and show that the "stable Hochschild…
Zeroth Hochschild homology of preprojective algebras over the integers
Travis Schedler
We determine the Z-module structure of the preprojective algebra and its zeroth Hochschild homology, for any non-Dynkin quiver (and hence the structure working over any base commut…
The necklace Lie coalgebra and renormalization algebras
Wee Liang Gan, Travis Schedler
We give a natural monomorphism from the necklace Lie coalgebra, defined for any quiver, to Connes and Kreimer's Lie coalgebra of trees, and extend this to a map from a certain quiv…
Concrete and abstract structure of the sandpile group for thick trees with loops
William Chen, Travis Schedler
We answer a question of Laszlo Babai concerning the abelian sandpile model. Given a graph, the model yields a finite abelian group of recurrent configurations which is closely rela…