#### Vol. 292, No. 2, 2018

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Formal confluence of quantum differential operators

### Bernard Le Stum and Adolfo Quirós

Vol. 292 (2018), No. 2, 427–478
##### Abstract

We prove that a differential operator in the usual sense is formally the limit of quantum differential operators. For this purpose, we introduce the notion of a 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.

##### Keywords
$q$-difference, differential operator, confluence
Primary: 12H10