-Deformed Topological Recursion, Weight Vectors and Algebraic Structures
arXiv:2606.16441
Abstract
We investigate a -deformation of the shifted topological recursion, extending the construction of Belliard-Bouchard-Kramer-Nelson to the context of quantum algebras. Through the study of highest weight vectors in -deformed of -algebra representations, we derive a -analogue of the topological recursion and show it yields -deformed quantum curves. This framework unifies various approaches to quantum integrability and provides new insights into the geometry of -deformed moduli spaces.
44 pages