Simply-laced quantum connections generalising KZ
arXiv:1704.08616 · doi:10.1007/s00220-019-03420-9
Abstract
We construct a new family of flat connections generalising the KZ connection, the Casimir connection and the dynamical connection. These new connections are attached to simply-laced graphs, and are obtained via quantisation of time-dependent Hamiltonian systems controlling the isomonodromic deformations of meromorphic connections on the sphere.
53 pages, 13 figures; better TeX and bibliography, corrected a reference in the introduction. Comments welcome