Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa I. Stokes Data

DOI10.1093/imrn/rnu250zbMath1332.37050arXiv1209.2045OpenAlexW2140956697WikidataQ63996516 ScholiaQ63996516MaRDI QIDQ3459099

Chang-Shou Lin, Alexander R. Its, Martin A. Guest

Publication date: 30 December 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2045

zbMATH Keywords

harmonic mapsToda latticeStokes matrics

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (12)

Topological-antitopological fusion and the quantum cohomology of Grassmannians ⋮ A Lie-theoretic description of the solution space of the \(\mathrm{tt}^\ast\)-Toda equations ⋮ On some Lie-theoretic solutions of the tt^*-Toda equations with integer Stokes data ⋮ Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter ⋮ Minimal Lagrangian surfaces in \(\mathbb{C}P^2\) via the loop group method. I: The contractible case ⋮ New results in \(\mathcal N=2\) theories from non-perturbative string ⋮ Harmonic bundles and Toda lattices with opposite sign. II ⋮ Isomonodromy aspects of the \(\mathrm{tt}^*\) equations of Cecotti and Vafa. II: Riemann-Hilbert problem ⋮ Homological classification of 4d \(\mathcal{N} = 2\) QFT. Rank-1 revisited ⋮ Isomonodromy aspects of the \(tt^*\) equations of Cecotti and Vafa. III: Iwasawa factorization and asymptotics ⋮ Kostant, Steinberg, and the Stokes matrices of the tt*-Toda equations ⋮ Stokes matrices for the quantum differential equations of some Fano varieties

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