30 citations · 115 across the 21 of their papers we have counts for
5 papers · 1 filter
Homotopy DG algebras induce homotopy BV algebras
John Terilla, Thomas Tradler, Scott O. Wilson
Let TA denote the space underlying the tensor algebra of a vector space A. In this short note, we show that if A is a differential graded algebra, then TA is a differential Batalin…
Algebras over Cobar(coFrob)
Gabriel C. Drummond-Cole, John Terilla, Thomas Tradler
We show that a square zero, degree one element in W(V), the Weyl algebra on a vector space V, is equivalent to providing V with the structure of an algebra over the properad Cobar(…
Smoothness Theorem for Differential BV Algebras
John Terilla
Associated to a differential BV algebra are two differential graded Lie algebras: we call one classical and the other, which contains a formal h-bar parameter, quantum. The classic…
Quantum backgrounds and QFT
Jae-Suk Park, John Terilla, Thomas Tradler
We introduce the concept of a quantum background and a functor QFT. In the case that the QFT moduli space is smooth formal, we construct a flat quantum superconnection on a bundle…
Deformations of associative algebras with inner products
John Terilla, Thomas Tradler
We develop the deformation theory of A_\infty algebras together with \infty inner products and identify a differential graded Lie algebra that controls the theory. This generalizes…