Co-Higgs bundles on \(\mathbb P^1\)

zbMath1287.14003arXiv1010.2526MaRDI QIDQ2439662

Steven Rayan

Publication date: 14 March 2014

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.2526

zbMATH Keywords

stabilitymoduli spaceBetti numbersprojective lineHiggs bundleHitchin fibrationco-Higgs bundle

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60) Fine and coarse moduli spaces (14D22)

Related Items (24)

Rank two nilpotent co-Higgs sheaves on complex surfaces ⋮ Introduction to Nonabelian Hodge Theory ⋮ Twisted argyle quivers and Higgs bundles ⋮ 25 open questions about vector bundles and their moduli ⋮ Moduli spaces of \(\Lambda\)-modules on abelian varieties ⋮ A Kobayashi-Hitchin correspondence for \(I_{\pm}\)-holomorphic bundles ⋮ Generalized holomorphic structures ⋮ Remarks on Nahm’s equations ⋮ Logarithmic co-Higgs bundles ⋮ Homogeneous Higgs and co-Higgs bundles on Hermitian symmetric spaces ⋮ 2-nilpotent co-Higgs structures ⋮ A vanishing theorem for co-Higgs bundles on the moduli space of bundles ⋮ Extended geometries ⋮ A note on co-Higgs bundles ⋮ Balanced metrics on twisted Higgs bundles ⋮ Aspects of the topology and combinatorics of Higgs bundle moduli spaces ⋮ The quiver at the bottom of the twisted nilpotent cone on \(\mathbb P^1\) ⋮ Canonical metrics on holomorphic bundles over compact bi-Hermitian manifolds ⋮ Toric co-Higgs sheaves ⋮ Toric co-Higgs bundles on toric varieties ⋮ Exceptional geometry and tensor fields ⋮ Principal co-Higgs bundles on ℙ¹ ⋮ Nonabelian Hodge theory and vector valued modular forms ⋮ Hyperbolic band theory through Higgs bundles

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