Voros symbols as cluster coordinates. Issue 4 (10th May 2019)

• Record Type: Journal Article
• Authors: Allegretti, Dylan G. L.
• Is Part Of: Journal of topology. Volume 12:Issue 4(2019)
• Page Start: 1031
• Page End: 1068
• Publication Date: 2019-05-10
• Subjects: 13F60 -- 34M60 (primary) -- 57M50 (secondary); Topology -- Periodicals; 514.05
• DOI: 10.1112/topo.12106
• Languages: English
• ISSNs: 1753-8416

Abstract

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 P G L 2 ( C ) ‐local systems on a marked bordered surface. Using this result, we show that these Borel sums can be extended to meromorphic functions on C ∗, and we prove an asymptotic property of the monodromy map introduced in collaboration with Tom Bridgeland.