4 papers
math-ph2026
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…
math.AT2026
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…
math.AT2025
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 simp…
math.KT2025
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…