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math.AGNov 1, 2011
17
citations (OpenAlex)
authors
  • Laura P. Schaposnik
institutions
  • University of Oxford
arXiv abstractPDF
paper

Monodromy of the SL_2 Hitchin fibration

arXiv:1111.2550 · doi:10.1142/S0129167X13500134

Abstract

We calculate the monodromy action on the mod 2 cohomology for SL(2,C) Hitchin systems and give an application of our results in terms of the moduli space of semistable SL(2,R) Higgs bundles.

17 pages, 3 figures. v2: Version to appear in IJM

References in corpus (1)

  • The singular fibre of the Hitchin map

Cited by in corpus (13)

  • Higgs bundles and (A,B,A)-branes
  • Hyperbolic band theory through Higgs bundles
  • Spectral data for U(m,m)-Higgs bundles
  • Branes through finite group actions
  • Singular Geometry and Higgs Bundles in String Theory
  • An introduction to spectral data for Higgs bundles
  • Higgs bundles and applications
  • Semi-abelian spectral data for singular fibres of the SL(2,C)-Hitchin system
  • A geometric approach to orthogonal Higgs bundles
  • Monodromy of the SL(n) and GL(n) Hitchin fibrations
  • Holomorphic Lagrangian subvarieties in holomorphic symplectic manifolds with Lagrangian fibrations and special Kahler geometry
  • Monodromy of Rank 2 Parabolic Hitchin Systems
  • Topological invariants of parabolic G-Higgs bundles
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