Asymptotic behaviour and the moduli space of doubly-periodic instantons

DOI10.1007/s100970100032zbMath1005.53017arXivmath/0005154OpenAlexW1970684125MaRDI QIDQ5953556

Marcos Jardim, Olivier Biquard

Publication date: 25 February 2003

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005154

zbMATH Keywords

instantonsmoduli spacesYang-Mills theorygauge theoryNahm transformHiggs bundlesholomorphic vector bundleshyper-Kähler geometry

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Moduli problems for differential geometric structures (58D27) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Other complex differential geometry (53C56)

Related Items (11)

A lax monoidal topological quantum field theory for representation varieties ⋮ Harmonic functions and instanton moduli spaces on the multi-Taub-NUT space ⋮ Deformation theory of periodic monopoles (with singularities) ⋮ Instantons on gravitons ⋮ Spatially periodic instantons: Nahm transform and moduli ⋮ Asymptotic behaviour and the Nahm transform of doubly periodic instantons with square integrable curvature ⋮ Nahm transform for Higgs bundles ⋮ Hodge polynomials of the SL(2, ℂ)-character variety of an elliptic curve with two marked points ⋮ A survey on Nahm transform ⋮ Kobayashi–Hitchin correspondence for analytically stable bundles ⋮ Multiplicative Hitchin systems and supersymmetric gauge theory

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