Nahm transform for integrable connections on the Riemann sphere

DOI10.24033/msmf.422zbMath1213.53005arXivmath/0511471OpenAlexW2951506991MaRDI QIDQ3548701

Szilárd Szabó

Publication date: 17 December 2008

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511471

zbMATH Keywords

Nahm transformRiemann sphereKählerian manifoldspinor bundlesinstantons, Yang-Mills equationsparabolic integrable connections

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15) Riemann surfaces (30F99) Integral transforms, operational calculus (44A99)

Related Items (9)

The birational geometry of unramified irregular Higgs bundles on curves ⋮ Nahm transformation for parabolic Higgs bundles on the projective line -- case of non-semisimple residues ⋮ Geometry and braiding of Stokes data; fission and wild character varieties ⋮ Spatially periodic instantons: Nahm transform and moduli ⋮ Nahm transform and parabolic minimal Laplace transform ⋮ Algebraic Nahm transform for parabolic Higgs ⋮ Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature ⋮ Nahm transform for Higgs bundles ⋮ The Plancherel theorem for Fourier-Laplace-Nahm transform for connections on the projective line

This page was built for publication: Nahm transform for integrable connections on the Riemann sphere