Riemann-Hilbert problems from Donaldson-Thomas theory
Tom Bridgeland
TL;DR
This paper investigates specific Riemann-Hilbert problems linked to Donaldson-Thomas theory, providing explicit solutions in special cases and exploring their connections to Gromov-Witten theory and WKB analysis.
Contribution
It introduces a class of Riemann-Hilbert problems from Donaldson-Thomas theory and explicitly solves them in certain cases, revealing new links to other mathematical theories.
Findings
Unique solutions expressed as gamma function products
Explicit solutions in special cases
Connections to Gromov-Witten theory and WKB analysis
Abstract
We study a class of Riemann-Hilbert problems arising naturally in Donaldson-Thomas theory. In certain special cases we show that these problems have unique solutions which can be written explicitly as products of gamma functions. We briefly explain connections with Gromov-Witten theory and exact WKB analysis.
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