Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 384, Issue 1, Pages 549-585Publisher
SPRINGER
DOI: 10.1007/s00220-021-04024-y
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Funding
- Australian Research Council [FL120100094, DP130100967, DP200100210]
- H2020-MSCA-RISE-2017 PROJECT [778010 IPADEGAN]
- Australian Research Council [DP200100210] Funding Source: Australian Research Council
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By solving a Riemann-Hilbert problem for a q-difference Painleve equation (qP(IV)), a bijective correspondence between transcendental solutions of qP(IV) and corresponding data on an associated q-monodromy surface was established. Additionally, the moduli space of qP(IV) was explicitly constructed.
A Riemann-Hilbert problem for a q-difference Painleve equation, known as qP(IV), is shown to be solvable. This yields a bijective correspondence between the transcendental solutions of qP(IV) and corresponding data on an associated q-monodromy surface. We also construct the moduli space of qP(IV) explicitly.
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