A weight two phenomenon for the moduli of rank one local systems on open varieties

zbMath1158.14016arXiv0710.2800MaRDI QIDQ3545396

Carlos T. Simpson

Publication date: 10 December 2008

Full work available at URL: https://arxiv.org/abs/0710.2800

zbMATH Keywords

representationfundamental grouptwistor spaceconnectionHiggs bundlequasi-projective variety

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Homotopy theory and fundamental groups in algebraic geometry (14F35) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (12)

Simpson-Mochizuki correspondence for \(\lambda\)-flat bundles ⋮ Non-abelian Hodge theory and related topics ⋮ On the automorphisms of a rank one Deligne-Hitchin moduli space ⋮ Generalized Deligne-Hitchin twistor spaces: construction and properties ⋮ Real projective structures on Riemann surfaces and new hyper-Kähler manifolds ⋮ MIXED HODGE STRUCTURES OF THE MODULI SPACES OF PARABOLIC CONNECTIONS ⋮ On the moduli space of $\lambda $-connections ⋮ Real holomorphic sections of the Deligne-Hitchin twistor space ⋮ Generalized Whitham flow and its applications ⋮ The twistor geometry of parabolic structures in rank two ⋮ The Hitchin-Kobayashi correspondence on twisted \(\lambda\)-flat bundles ⋮ Simpson filtration and oper stratum conjecture

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