Complete Integrability of the Parahoric Hitchin System

DOI10.1093/imrn/rnx313zbMath1504.14065arXiv1608.05454OpenAlexW3101698882MaRDI QIDQ5243457

Masoud Kamgarpour, David Baraglia, Rohith Varma

Publication date: 18 November 2019

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

Full work available at URL: https://arxiv.org/abs/1608.05454

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60) Group schemes (14L15)

Related Items (9)

Parabolic Hitchin maps and their generic fibers ⋮ Hypergeometric sheaves for classical groups via geometric Langlands ⋮ Hitchin systems for invariant and anti-invariant vector bundles ⋮ A Hitchin connection on nonabelian theta functions for parabolic \(G\)-bundles ⋮ On parahoric Hitchin systems over curves ⋮ Logahoric Higgs torsors for a complex reductive group ⋮ T-branes at the limits of geometry ⋮ Generalizations of parabolic Higgs bundles, real structures, and integrability ⋮ Perversity equals weight for Painlevé spaces

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