Notes on 2D Conformal Field Theory and String Theory
We explain the basics of conformal theory using the language of chiral algebras of Beilinson and Drinfeld.
math.AG↗
arXiv subjects
Dennis Gaitsgory
Publications and source records attributed to Dennis Gaitsgory.
Grothendieck topologies and deformation theory II
This paper is a continuation of ``Operads, Grothendieck topologies and deformation theory'' (alg-geom/9502010). We show how to develop a cohomology theory that would control deformations of a sheaf of associative algebras over a scheme by means of introducing an appropriate site and considering sheaves on it.
alg-geom↗
The Poincare-Birkhoff-Witt theorem for quadratic algebras of Koszul type
In this paper we discuss a generalization of the classica PBW-theorem to the case of Koszul algebras. Our result is a slight generalization of that obtained by A.Polischuk and L.Positselsky, but the proof is different and uses deformation theory.
hep-th↗