Voros symbols as cluster coordinates
Classical Analysis and ODEs
2020-01-22 v3 High Energy Physics - Theory
Geometric Topology
Abstract
We show that the Borel sums of the Voros symbols considered in the theory of exact WKB analysis arise naturally as Fock-Goncharov coordinates of framed -local systems on a marked bordered surface. Using this result, we show that these Borel sums can be meromorphically continued to any point of , and we prove an asymptotic property of the monodromy map introduced in collaboration with Tom Bridgeland.
Cite
@article{arxiv.1802.05479,
title = {Voros symbols as cluster coordinates},
author = {Dylan G. L. Allegretti},
journal= {arXiv preprint arXiv:1802.05479},
year = {2020}
}
Comments
46 pages. Version 2: Accepted for publication in Journal of Topology. Version 3: Clarifications added to Theorem 1.4 and its proof, superseding the published version