Asymptotic geometry of the Hitchin metric

DOI10.1007/s00220-019-03358-yzbMath1409.14024arXiv1709.03433OpenAlexW2756293367MaRDI QIDQ1737557

Hartmut Weiss, Frederik Witt, Jan Swoboda, Rafe R. Mazzeo

Publication date: 23 April 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.03433

zbMATH Keywords

Higgs bundlesemiflat metricHitchin metricmoduli space of soluitons of irreducible Hitchin's self dual equationspace of limiting configuration

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Algebraic moduli problems, moduli of vector bundles (14D20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Vector bundles on curves and their moduli (14H60)

Related Items

Perspectives on the asymptotic geometry of the Hitchin moduli space ⋮ Exponential decay for the asymptotic geometry of the Hitchin metric ⋮ Nilpotent Higgs bundles and families of flat connections ⋮ sl(2)$\mathfrak {sl}(2)$‐Type singular fibres of the symplectic and odd orthogonal Hitchin system ⋮ Asymptotic geometry of the moduli space of parabolic SL(2,C)$\operatorname{SL}(2,\mathbb {C})$‐Higgs bundles ⋮ Opers and Non-Abelian Hodge: Numerical Studies ⋮ Integrable systems and special Kähler metrics ⋮ Singular geometry and Higgs bundles in string theory ⋮ Adiabatic limits of anti-self-dual connections on collapsed \(K3\) surfaces ⋮ Moduli spaces of Higgs bundles - old and new

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