Geometry and Quantization of Moduli Spaces

• Main Authors: Fock, Vladimir (Author), Marshakov, Andrey (Author), Schaffhauser, Florent (Author), Teleman, Constantin (Author), Wentworth, Richard (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Alvarez Consul, Luis (Editor), Andersen, Jørgen Ellegaard (Editor), Mundet i Riera, Ignasi (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
• Series: Advanced Courses in Mathematics - CRM Barcelona,
• Subjects: Mathematics.; Algebraic geometry.; Functions of complex variables.; Manifolds (Mathematics).; Complex manifolds.; Algebraic Geometry.; Several Complex Variables and Analytic Spaces.; Manifolds and Cell Complexes (incl. Diff.Topology).

This volume is based on four advanced courses held at the Centre de Recerca Matemàtica (CRM), Barcelona. It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli...

Table of Contents:

• Loop groups, clusters, dimers and integrable systems
• Lectures on Klein surfaces and their fundamental group
• Five lectures on topological field theory
• Higgs bundles and local systems on Riemann surfaces.