Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces

DOI10.1112/jtopol/jtw018zbMath1381.53047arXiv1508.05997OpenAlexW1897016541MaRDI QIDQ4977714

Takuro Mochizuki

Publication date: 17 August 2017

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05997

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Relationships between algebraic curves and integrable systems (14H70) Vector bundles on curves and their moduli (14H60)

Related Items (15)

Perspectives on the asymptotic geometry of the Hitchin moduli space ⋮ Simpson-Mochizuki correspondence for \(\lambda\)-flat bundles ⋮ Harmonic metrics of generically regular semisimple Higgs bundles on noncompact Riemann surfaces ⋮ 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 ⋮ Reduction for 𝑆𝐿(3) pre-buildings ⋮ On the singular sets of solutions to the Kapustin-Witten equations and the Vafa-Witten ones on compact Kähler surfaces ⋮ Asymptotic geometry of the Hitchin metric ⋮ Curvature formulas related to a family of stable Higgs bundles ⋮ Singular geometry and Higgs bundles in string theory ⋮ Perversity equals weight for Painlevé spaces ⋮ Twisted cyclic quiver varieties on curves ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Adiabatic limits and Kazdan-Warner equations ⋮ On cyclic Higgs bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Ends of the moduli space of Higgs bundles
• Asymptotics of Higgs bundles in the Hitchin component
• Moduli of parabolic stable sheaves
• Kobayashi-Hitchin correspondence for tame harmonic bundles. II.
• Moduli of vector bundles on curves with parabolic structures
• Higgs bundles and local systems
• Wall-crossing, Hitchin systems, and the WKB approximation
• Harmonic maps to buildings and singular perturbation theory
• Harmonic bundles and Toda lattices with opposite sign. II
• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor 𝐷-modules. I
• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor 𝐷-modules. II
• The Self-Duality Equations on a Riemann Surface
• The Hodge filtration on nonabelian cohomology
• Wild non-abelian Hodge theory on curves
• An Extension of Schwarz's Lemma
• Four-dimensional wall-crossing via three-dimensional field theory

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