Geometry and Quantization of Moduli Spaces
Springer International Publishing (Verlag)
978-3-319-33577-3 (ISBN)
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 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.
Vladimir V. Fock is Professor at the Institut de Recherche Mathématique Avancée in Strasbourg. Andrey Marshakov is Professor at the National Research University Higher School of Economics in Moscow. Florent Schaffhauser is Associate Professor at Universidad de Los Andes in Bogotá.
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.
| Erscheinungsdatum | 26.01.2017 |
|---|---|
| Reihe/Serie | Advanced Courses in Mathematics - CRM Barcelona |
| Zusatzinfo | X, 220 p. 62 illus., 2 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 168 x 240 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Algebraic Geometry • Integrable Systems • Klein surfaces • Manifolds and Cell Complexes (incl. Diff.Topology) • mathematics and statistics • moduli spaces • Riemann Surfaces • Several Complex Variables and Analytic Spaces • topological quantum field theories |
| ISBN-10 | 3-319-33577-4 / 3319335774 |
| ISBN-13 | 978-3-319-33577-3 / 9783319335773 |
| Zustand | Neuware |
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