The Singular Fiber of the Hitchin Map

DOI10.1093/imrn/rns020zbMath1312.14034arXiv1012.5541OpenAlexW3098307356MaRDI QIDQ5250680

Peter B. Gothen, André G. Oliveira

Publication date: 22 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5541

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (10)

Parabolic Hitchin maps and their generic fibers ⋮ Two-dimensional moduli spaces of rank 2 Higgs bundles over \(\mathbb{C} \mathbb P^1\) with one irregular singular point ⋮ A Hitchin connection on nonabelian theta functions for parabolic \(G\)-bundles ⋮ Hitchin fibrations on moduli of irregular Higgs bundles and motivic wall-crossing ⋮ sl(2)$\mathfrak {sl}(2)$‐Type singular fibres of the symplectic and odd orthogonal Hitchin system ⋮ Unramified covers and branes on the Hitchin system ⋮ Critical loci for Higgs bundles ⋮ Singular geometry and Higgs bundles in string theory ⋮ Rank two quadratic pairs and surface group representations ⋮ Hecke cycles associated to rank 2 twisted Higgs bundles on a curve

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