On the Morgan-Shalen compactification of the \(SL(2,\mathbb{C})\) character varieties of surface groups

DOI10.1215/S0012-7094-00-10121-4zbMath0974.58009arXivmath/9810034OpenAlexW1558925387MaRDI QIDQ1976041

Stamatis Dostoglou, Richard A. Wentworth, Georgios D. Daskalopoulos

Publication date: 30 November 2001

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9810034

zbMATH Keywords

quadratic differentialcharacter varietyHiggs moduli space

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Complex-analytic moduli problems (32G13) Harmonic maps, etc. (58E20) Differentials on Riemann surfaces (30F30) Groups acting on trees (20E08)

Related Items (9)

Holonomy limits of complex projective structures ⋮ The dual boundary complex of the \(SL_2\) character variety of a punctured sphere ⋮ Meromorphic quadratic differentials with complex residues and spiralling foliations ⋮ On the singular sets of solutions to the Kapustin-Witten equations and the Vafa-Witten ones on compact Kähler surfaces ⋮ Meromorphic quadratic differentials and measured foliations on a Riemann surface ⋮ Asymptotics of Higgs bundles in the Hitchin component ⋮ Harmonic maps to buildings and singular perturbation theory ⋮ Moduli spaces of Higgs bundles - old and new ⋮ Character varieties

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