An Introduction to the Differential Geometry of Flat Bundles and of Higgs Bundles

DOI10.1142/9789813229099_0001zbMath1411.53002OpenAlexW2811246429MaRDI QIDQ4556558

Olivier Guichard

Publication date: 16 November 2018

Published in: The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/19227d10b408fcbd0b80bcfca4fecc08e94100df

zbMATH Keywords

Riemannian manifoldsymplectic manifoldHiggs bundleKählerian manifoldflat bundle

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Holomorphic bundles and generalizations (32L05)

Related Items (5)

Cyclic Higgs bundles and minimal surfaces in pseudo-hyperbolic spaces ⋮ On the existence of harmonic metrics on non‐Hermitian Yang–Mills bundles ⋮ Length spectrum compactification of the \(\mathrm{SO}_0(2, 3)\)-Hitchin component ⋮ The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮ Hermitian-Poisson metrics on flat bundles over complete Hermitian manifolds

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