Contents Online
Mathematical Research Letters
Volume 23 (2016)
Number 4
Fourier duality of quantum curves
Pages: 1111 – 1137
DOI: https://dx.doi.org/10.4310/MRL.2016.v23.n4.a7
Authors
Abstract
There are two different ways to deform a quantum curve along the flows of the KP hierarchy. We clarify the relation between the two KP orbits: In the framework of suitable connections attached to the quantum curve they are related by a local Fourier duality. As an application we give a conceptual proof of duality results in 2D quantum gravity.
Accepted 10 December 2015
Published 16 September 2016