The holonomy group at infinity of the Painlevé VI equation
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Publication:2861728
DOI10.1063/1.3681897zbMath1274.34260arXiv1005.0142OpenAlexW2092152620MaRDI QIDQ2861728
Martine Klughertz, Bassem Ben Hamed, Lyubomir Gavrilov
Publication date: 11 November 2013
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.0142
Hamilton's equations (70H05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Cites Work
- Non-integrability of some Painlevé VI-equations and dilogarithms
- Dynamics on character varieties and Malgrange irreducibility of Painlevé VI equation
- Liouvillian first integrals of differential equations
- Non-integrability of Painlevé VI equations in the Liouville sense
- Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
- Solution of the Inverse Problem of Differential Galois Theory in the Classical Case
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