12 citations · 147 across the 45 of their papers we have counts for
5 papers · 1 filter
Multiplicative preprojective algebras are 2-Calabi-Yau
Daniel Kaplan, Travis Schedler
We prove that multiplicative preprojective algebras, defined by Crawley-Boevey and Shaw, are 2-Calabi-Yau algebras, in the case of quivers containing unoriented cycles. If the quiv…
Deformations of algebras in noncommutative geometry
Travis Schedler
These are significantly expanded lecture notes for the author's minicourse at MSRI in June 2012, as published in the MSRI lecture note series, with some minor additional correction…
Connes-Kreimer quantizations and PBW theorems for pre-Lie algebras
Travis Schedler
The Connes-Kreimer renormalization Hopf algebras are examples of a canonical quantization procedure for pre-Lie algebras. We give a simple construction of this quantization using t…
Superpotentials and Higher Order Derivations
Raf Bocklandt, Travis Schedler, Michael Wemyss
We consider algebras defined from quivers with relations that are k-th order derivations of a superpotential, generalizing results of Dubois-Violette to the quiver case. We give a…
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…