Studies on monodromy preserving deformation of linear differential equations on elliptic curves

DOI10.1063/1.3204973zbMath1283.34081OpenAlexW2092948863MaRDI QIDQ3583637

Toshiyuki Mano

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/87414

zbMATH Keywords

monodromy preserving deformationlinear differential equations on elliptic curves

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Related Items (2)

The Schlesinger system and isomonodromic deformations of bundles with connections on Riemann surfaces ⋮ Twisted cohomology and homology groups associated to the Riemann-Wirtinger integral

Cites Work

• Unnamed Item
• Monodromy problem and the boundary condition for some Painlevé equations
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II
• Holonomic quantum fields. II: The Riemann-Hilbert problem
• Gaudin model, KZ equation and an isomonodromic problem on the torus
• Bosonization and integral representation of solutions of the Knizhnik-Zamolodchikov-Bernard equations.
• On the Quantization of Isomonodromic Deformations on the Torus
• Isomonodromic deformation of Fuchsian projective connections on elliptic curves

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