Geometry and Quantization of Moduli Spaces / by Vladimir Fock, Andrey Marshakov, Florent Schaffhauser, Constantin Teleman, Richard Wentworth ; edited by Luis Alvarez Consul, Jørgen Ellegaard Andersen, Ignasi Mundet i Riera.

Format:

Book

Author/Creator:

Fock, Vladimir., Author.

Marshakov, Andrei, Author.

Schaffhauser, Florent., Author.

Teleman, Constantin., Author.

Wentworth, Richard, Author.

Contributor:

Alvarez Consul, Luis., Editor.

Andersen, Jørgen Ellegaard., Editor.

Mundet i Riera, Ignasi., Editor.

Series:

Advanced Courses in Mathematics - CRM Barcelona, 2297-0312

Language:

English

Subjects (All):

Geometry, Algebraic.

Functions of complex variables.

Manifolds (Mathematics).

Algebraic Geometry.

Several Complex Variables and Analytic Spaces.

Manifolds and Cell Complexes.

Local Subjects:

Algebraic Geometry.

Several Complex Variables and Analytic Spaces.

Manifolds and Cell Complexes.

Physical Description:

1 online resource (X, 220 p. 62 illus., 2 illus. in color.)

Edition:

1st ed. 2016.

Place of Publication:

Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.

Summary:

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.

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.

ISBN:

3-319-33578-2

OCLC:

1066191920