Introduction to Nonabelian Hodge Theory: flat connections, Higgs bundles and complex variations of Hodge structure

Abstract

Lecture notes from the Concentrated Graduate Course preceding the Workshop on Hodge Theory in String Theory at the Fields Institute in Toronto, November 11--15, 2013.

41 pages, 1 figure, 1 table. To appear in the Fields Institute Monograph Series. v2: added references. v3: corrections, clarifications and more references. v4: minor clarifications

References in corpus (3)

• Kobayashi-Hitchin correspondence for tame harmonic bundles and an application
• Generalized holomorphic bundles and the B-field action
• Gauge Theory and Langlands Duality

Cited by in corpus (7)

• Automorphic Bloch theorems for hyperbolic lattices
• Aspects of the topology and combinatorics of Higgs bundle moduli spaces
• The Geometry of Synchronization Problems and Learning Group Actions
• Non-Abelian Hodge Theory and Related Topics
• On the Kirwan map for moduli of Higgs bundles
• The Kapustin-Witten equations and nonabelian Hodge theory
• Tensor Products of Quiver Bundles