394 citations · 1.6k across the 41 of their papers we have counts for
42 papers
The Moyal cohomology of the N=1 spinning particle
Ezra Getzler
The Batalin-Fradkin-Vilkovisky formalism studies a differential graded symplectic supermanifold whose cohomology vanishes in negative degree. This hypothesis is violated by the N=1…
The Dold-Kan theorem for paracyclic modules
Ezra Getzler
We study the Karoubi operator on the unnormalized chain complex of a paracyclic module; its restriction to the normalized chain complex has previously been considered by Dwyer and…
Higher holonomy for curved L-algebras 1: simplicial methods
Ezra Getzler
We construct a natural morphism from the nerve of a pronilpotent curved L-algebra to the simpli…
Koszul duality and the Poincaré-Birkhoff-Witt theorem
Ezra Getzler
Using a homotopy introduced by de Wilde and Lecomte and homological perturbation theory for -algebras, we give an explicit proof that the universal enveloping algebra $UL…
Batalin-Vilkovisky formality for Chern-Simons theory
Ezra Getzler
We prove that the differential graded Lie algebra of functionals associated to the Chern-Simons theory of a semisimple Lie algebra is homotopy abelian. For a general field theory,…
Global gauge conditions in the Batalin-Vilkovisky formalism
Ezra Getzler, Sean Weinz Pohorence
In the Batalin-Vilkovisky formalism, gauge conditions are expressed as Lagrangian submanifolds in the space of fields and antifields. We discuss a way of patching together gauge co…