Geometry and Quantization of Moduli Spaces [Paperback]

This volume is based on four advanced courses held at the Centre de Recerca Matem?tica (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 spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.

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.Vladimir V. Fock  is Professor at the Institut de Recherche Math?matique Avanc?e in Strasbourg.This volume is based on four advanced courses held at the Centre de Recerca Matem?tica (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 spaces. The lectures focus on the geometry of moduli spaces which are mostly associated to compact Riemann surfaces, and are presented from both classical and quantum perspectives.

Presents introductory lectures on different aspects of the modern perlÓ#