On canonical parametrization of phase spaces of Isomonodromic Deformation Equations

DOI10.1007/978-3-030-34072-8_1zbMath1450.34068OpenAlexW2989841395MaRDI QIDQ3294698

Mikhail Vasilievich Babich

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34072-8_1

zbMATH Keywords

isomonodromic deformationsmomentum mapPainlevé VI equationFuchsian equationsflag coordinates

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Isomonodromic deformations for ordinary differential equations in the complex domain (34M56)

Cites Work

• Birational Darboux coordinates on (co)adjoint orbits of \(\mathrm{GL}(N,\mathbb{C})\)
• About coordinates on the phase spaces of the Schlesinger system and the Garnier-Painlevé 6 system
• \(\mathcal R\)-matrix and Baxter \(\mathcal Q\)-operators for the noncompact \(\mathrm{SL}(N,\mathbb C)\) invariant spin chain

This page was built for publication: On canonical parametrization of phase spaces of Isomonodromic Deformation Equations