4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.RT2010★ 1 cited
Half-integrable modules over algebras of twisted chiral differential operators
Dmytro Chebotarov
A module M over a vertex algebra V is half-integrable if a_n act locally nilpotently on M for all a in V, m in M, n>0. We study half-integrable modules over sheaves of twisted chir…
math.QA2010★ 1 cited
Classification of transitive vertex algebroids
Dmytro Chebotarov
We present a classification of transitive vertex algebroids on a smooth variety X carried out in the spirit of Bressler's classification of Courant algebroids. In particular, we co…
math.AG2008★ 4 cited
Algebras of twisted chiral differential operators and affine localization of -modules
Tomoyuki Arakawa, Dmytro Chebotarov, Fyodor Malikov
We propose a notion of algebra of {\it twisted} chiral differential operators over algebraic manifolds with vanishing 1st Pontrjagin class. We show that such algebras possess famil…