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Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces

About this Title

William M. Goldman and Eugene Z. Xia

Publication: Memoirs of the American Mathematical Society
Publication Year 2008: Volume 193, Number 904
ISBNs: 978-0-8218-4136-5 (print); 978-1-4704-0510-6 (online)
MathSciNet review: 2400111
MSC: Primary 32G13; Secondary 14D20, 14H55, 30F30

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Table of Contents


  • Introduction
  • 1. Equivalences of deformation theories
  • 2. The Betti and de Rham deformation theories and their moduli spaces
  • 3. The Dolbeault groupoid
  • 4. Equivalence of de Rham and Dolbeault groupoids
  • 5. Hyperkähler geometry on the moduli space
  • 6. The twistor space
  • 7. The moduli space and the Riemann period matrix