Finite orbits of the pure braid group on the monodromy of the 2-variable Garnier system

DOI10.1093/integr/xyy005zbMath1402.37082arXiv1705.03295OpenAlexW2963520402WikidataQ129732562 ScholiaQ129732562MaRDI QIDQ4684178

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Publication date: 27 September 2018

Published in: Journal of Integrable Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03295

zbMATH Keywords

braid groupcharacter varietyGarnier system

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Algebraic moduli problems, moduli of vector bundles (14D20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (5)

Monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities ⋮ Classification of algebraic solutions of irregular Garnier systems ⋮ The sixth Painlevé equation as isomonodromy deformation of an irregular system: monodromy data, coalescing eigenvalues, locally holomorphic transcendents and Frobenius manifolds ⋮ Triangular Schlesinger systems and superelliptic curves ⋮ Finite orbits of monodromies of rank two Fuchsian systems

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