English

Frobenius manifolds and quantum groups

Mathematical Physics 2020-07-07 v2 Classical Analysis and ODEs math.MP Quantum Algebra Symplectic Geometry

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.

Cite

@article{arxiv.1801.00123,
  title  = {Frobenius manifolds and quantum groups},
  author = {Xiaomeng Xu},
  journal= {arXiv preprint arXiv:1801.00123},
  year   = {2020}
}

Comments

25 pages

R2 v1 2026-06-22T23:32:51.600Z