Periodic monopoles and difference modules

DOI10.1007/978-3-030-94500-8OpenAlexW2779374579MaRDI QIDQ2074389

Takuro Mochizuki

Publication date: 9 February 2022

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08981

zbMATH Keywords

Yang-Mills theorydifferential geometryperiodic monopolesKobayashi-Hitchinnonabelian Hodge correspondence

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Hodge theory in global analysis (58A14) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (5)

Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type ⋮ Parabolic Higgs bundles and cyclic monopole chains ⋮ Exponential networks, WKB and topological string ⋮ Kobayashi–Hitchin correspondence for analytically stable bundles ⋮ Multiplicative Hitchin systems and supersymmetric gauge theory

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