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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)
DOI: https://doi.org/10.1090/memo/0904
MathSciNet review: 2400111
MSC: Primary 32G13; Secondary 14D20, 14H55, 30F30
Table of Contents
Chapters
- 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