Frobenius manifolds and quantum groups

Abstract

We introduce isomonodromy Knizhnik-Zamolodchikov (KZ) connections with respect to the quantum Stokes matrices, and prove that the classical limit of the KZ type connections gives rise to the Dubrovin connections of semisimple Frobenius manifolds and flat F-manifolds.

25 pages

References in corpus (2)

• Local Moduli of Semisimple Frobenius Coalescent Structures
• The open Gromov-Witten-Welschinger theory of blowups of the projective plane

Cited by in corpus (1)

• Representations of quantum groups arising from the Stokes phenomenon