Formal confluence of quantum differential operators

Abstract

We prove that a usual differential operator is formally the limit of quantum differential operators. For this purpose, we introduce the notion of twisted differential operator of infinite level and prove that, formally, such an object is independent of the choice of the twist. Our method provides explicit formulas.

References in corpus (1)

• Une neutralisation explicite de l'algèbre de Weyl quantique complétée

Cited by in corpus (2)

• Twisted calculus on affinoid algebras
• Cartier transform and prismatic crystals