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

Rank one Higgs bundles and representations of fundamental groups of Riemann surfaces / William M. Goldman, Eugene Z. Xia.

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Bibliographic Details
Main Author:	Goldman, William Mark
Other Authors:	Xia, Eugene Zhu, 1963-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, ©2008.
Series:	Memoirs of the American Mathematical Society ; no. 904.
Subjects:	Surfaces, Deformation of. Riemann surfaces. Geometry, Differential. Geometry, Algebraic. MATHEMATICS > Geometry > General. Geometry, Algebraic Geometry, Differential Riemann surfaces Surfaces, Deformation of
Online Access:	Click for online access

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.