Fock, Vladimir V.^{5}; Goncharov, Alexander B.^{4}

Editor:

Athanase Papadopoulos

Affiliations:

^{1} Department of Mathematical Sciences, Faculty of Science, Aarhus University, Aarhus University^{2} Center for the Topology and Quantization of Moduli Spaces (CTQM), Faculty of Science, Aarhus University, Aarhus University^{3} Department of Mathematics - Centre for Quantum Geometry of Moduli Spaces, Department of Mathematics, Science and Technology, Aarhus University^{4} unknown^{5} Department of Mathematics - Centre for Quantum Geometry of Moduli Spaces, Department of Mathematics, Science and Technology, Aarhus University

DOI:

10.4171/029-1/16

Abstract:

We survey explicit coordinate descriptions for two versions of Teichmüller and lamination spaces for open surfaces, and extend them to the more general set-up of surfaces with distinguished collections of points on the boundary. Main features, such as mapping class group action, Poisson and symplectic structures and others, are described in these terms. The lamination spaces are interpreted as the tropical limits of the Teichmüller ones. Canonical pairings between lamination and Teichmüller spaces are constructed.

ISBN:

9783037190296

Type:

Book chapter

Language:

English

Published in:

Handbook of Teichmüller Theory, 2007, p. 647-684

Main Research Area:

Science/technology

Publication Status:

Published

Series:

Irma Lectures in Mathematics and Theoretical Physics