Hecke cycles associated to rank 2 twisted Higgs bundles on a curve

DOI10.1142/S0129167X19500629zbMath1427.14070arXiv1708.00164OpenAlexW2970594780WikidataQ127331143 ScholiaQ127331143MaRDI QIDQ5203904

Sang-Bum Yoo

Publication date: 9 December 2019

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00164

zbMATH Keywords

Hecke cycles associated to stable twisted Higgs bundlesHecke modifications of twisted Higgs bundlemoduli space of twisted Higgs bundles

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Jacobians, Prym varieties (14H40) Vector bundles on curves and their moduli (14H60) Algebraic cycles (14C25) Coverings in algebraic geometry (14E20) Stacks and moduli problems (14D23)

Cites Work

• Prym varieties of spectral covers
• Equigeneric and equisingular families of curves on surfaces
• Desingularizations of the moduli space of rank 2 bundles over a curve
• More on gauge theory and geometric Langlands
• Cohomology of the moduli space of Hecke cycles
• Moduli of representations of the fundamental group of a smooth projective variety. II
• The reverse Yang-Mills-Higgs flow in a neighbourhood of a critical point
• The moduli space of vector bundles over an algebraic curve
• Hilbert scheme of rational cubic curves via stable maps
• Moduli Space of Semistable Pairs on a Curve
• MODULI SPACE OF STABLE MAPS TO PROJECTIVE SPACE VIA GIT
• The Self-Duality Equations on a Riemann Surface
• Spectral curves and the generalised theta divisor.
• Variation of moduli of parabolic Higgs bundles
• The Singular Fiber of the Hitchin Map
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