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

William M. Goldman, Eugene Z. Xia

Type: Article

Publication Date: 2008-01-01

Citations: 28

DOI: https://doi.org/10.1090/memo/0904

Abstract

Introduction Equivalences of deformation theories The Betti and de Rham deformation theories and their moduli spaces The Dolbeault groupoid Equivalence of de Rham and Dolbeault groupoids Hyperkahler geometry on the moduli space The twistor space The moduli space and the Riemann period matrix Bibliography.

Locations

Memoirs of the American Mathematical Society - View
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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Works Cited by This (28)

Action	Title	Year	Authors
+	Lectures on Riemann Surfaces	1981	Otto Förster
+ PDF Chat	Surface Group Representations and U(p, q)-Higgs Bundles	2003	Steven B. Bradlow Oscar García‐Prada Peter B. Gothen
+	Lectures on Riemann Surfaces	1966	Robert C. Gunning
+ PDF Chat	Differential Analysis on Complex Manifolds	1980	Raymond O. Wells
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris
+	Lectures on Symplectic Manifolds	1977	Alan Weinstein
+ PDF Chat	Introduction to symplectic topology	2006	Dusa McDuff
+	The concept of a Riemann surface	1964	Hermann Weyl G. R. MacLane
+	Geometric Invariant Theory	1994	David Mumford John E. Fogarty Frances Kirwan
+ PDF Chat	A new proof of a theorem of Narasimhan and Seshadri	1983	Simon Donaldson