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Handbook of Teichmüller Theory

Volume III

98,00 € Lieferbar in 2-3 Tagen


The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces. This includes the study of vector bundles on these moduli spaces, the study of mapping class groups, the relation with 3-manifolds, the relation with symmetric spaces and arithmetic groups, the representation theory of fundamental groups, and applications to physics. Thus the handbook is a place where several fields of mathematics interact: Riemann surfaces, hyperbolic geometry, partial differential equations, several complex variables, algebraic geometry, algebraic topology, combinatorial topology, low-dimensional topology, theoretical physics, and others. This confluence of ideas towards a unique subject is a manifestation of the unity and harmony of mathematics.
The present volume contains surveys on the fundamental theory as well as surveys on applications to and relations with the fields mentioned above. It is written by leading experts in the fields. Some of the surveys contain classical material, while others present the latest developments of the theory as well as open problems.
- The metric and the analytic theory.
- The group theory.
- The algebraic topology of mapping class groups and moduli spaces.
- Teichmüller theory and mathematical physics.
The handbook is addressed to graduate students and researchers in all the fields mentioned.


Titel: Handbook of Teichmüller Theory
Autoren/Herausgeber: Athanase Papadopoulos (Hrsg.)
Aus der Reihe: IRMA Lectures in Mathematics and Theoretical Physics
Ausgabe: 1., Aufl.

ISBN/EAN: 9783037191033

Seitenzahl: 866
Format: 24 x 17 cm
Produktform: Hardcover/Gebunden
Gewicht: 1,586 g
Sprache: Englisch - Newsletter
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