Higgs bundles over cell complexes and representations of finitely presented groups
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Publication:1750825
DOI10.2140/pjm.2018.296.31zbMath1401.58003arXiv1605.04625OpenAlexW3101984494WikidataQ60137672 ScholiaQ60137672MaRDI QIDQ1750825
Chikako Mese, Graeme Wilkin, Georgios D. Daskalopoulos
Publication date: 23 May 2018
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.04625
Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Harmonic maps, etc. (58E20) Differential complexes (58J10)
Related Items
Principal bundles on two-dimensional CW-complexes with disconnected structure group, Poisson metrics and Higgs bundles over noncompact Kähler manifolds
Cites Work
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- Fixed point and rigidity theorems for harmonic maps into NPC spaces
- Harmonic maps from 2-complexes
- Harmonic mappings of Kähler manifolds to locally symmetric spaces
- The complex-analyticity of harmonic maps and the strong rigidity of compact Kaehler manifolds
- Flat G-bundles with canonical metrics
- Archimedean superrigidity and hyperbolic geometry
- Higgs bundles and local systems
- Regularity in elliptic free boundary problems. I
- Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
- On energy minimizing mappings between and into singular spaces
- On degenerations of moduli of Hitchin pairs
- Harmonic maps from a simplicial complex and geometric rigidity
- On the fundamental groups of normal varieties
- Fundamental groups of links of isolated singularities
- Harmonic Bundles on Noncompact Curves
- On the classification of rank-two representations of quasiprojective fundamental groups
- The Self-Duality Equations on a Riemann Surface
- Twisted Harmonic Maps and the Self-Duality Equations
- Constructing Variations of Hodge Structure Using Yang-Mills Theory and Applications to Uniformization
- Elliptic Partial Differential Equations of Second Order
- UNIQUENESS THEOREMS FOR HARMONIC MAPS INTO METRIC SPACES
- The cohomology of a variation of polarized Hodge structures over a quasi-compact Kähler manifold
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
- Rational homotopy theory and differential forms
