Higgs bundles and local systems on Riemann surfaces
Richard A. Wentworth
TL;DR
This paper explores the deep relationship between Higgs bundles and local systems on Riemann surfaces, providing insights into their geometric and physical significance through lecture notes from a specialized school.
Contribution
It offers a comprehensive overview of Higgs bundles and local systems, highlighting their interplay and recent developments in the context of Riemann surfaces.
Findings
Clarifies the correspondence between Higgs bundles and local systems.
Summarizes key results from the third international school on geometry and physics.
Provides foundational knowledge for further research in geometric structures on surfaces.
Abstract
Lecture notes from the Third International School on Geometry and Physics at the Centre de Recerca Matematica in Barcelona, March 26--30, 2012.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Homotopy and Cohomology in Algebraic Topology · Geometry and complex manifolds