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math.AGJul 16, 2013
22
citations (OpenAlex)
authors
  • Laura P. Schaposnik
institutions
  • Heidelberg University
  • University of Oxford
arXiv abstractPDF
paper

Spectral data for U(m,m)-Higgs bundles

arXiv:1307.4419 · doi:10.1093/imrn/rnu029

Abstract

We define and study spectral data associated to U(m,m)-Higgs bundles through the Hitchin fibration. We give a new interpretation of the topological invariants involved, as well as a geometric description of the moduli space.

7 pages

References in corpus (3)

  • Higgs bundles and (A,B,A)-branes
  • Spectral data for G-Higgs bundles
  • Nonabelianization of Higgs bundles

Cited by in corpus (14)

  • Nonabelianization of Higgs bundles
  • Branes through finite group actions
  • Cayley and Langlands type correspondences for orthogonal Higgs bundles
  • Singular Geometry and Higgs Bundles in String Theory
  • Cameral data for SU(p+1,p)-Higgs bundles
  • Mirror symmetry with branes by equivariant Verlinde formulae
  • An introduction to spectral data for Higgs bundles
  • Lectures on Higgs moduli and abelianisation
  • Orthogonal Higgs bundles with singular spectral curves
  • Higgs bundles and applications
  • Higgs bundles and exceptional isogenies
  • Higgs bundles, abelian gerbes and cameral data
  • Spectral Data for SU(1,2) Higgs Bundles
  • Hitchin Pairs for non-compact real Lie groups
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