The quantization theories can lead to new invariants of hyperbolic 3-manifolds. The purpose of this handbook is to give a panorama of some of the most important aspects of Teichmuller theory.
This volume is the fifth in a series dedicated to Teichmuller theory in a broad sense, including the study of various deformation spaces and of mapping class group actions.
The subject of this handbook is Teichmüller theory in a wide sense, namely the theory of geometric structures on surfaces and their moduli spaces.
The handbook is addressed to researchers as well as graduate students. The present volume is divided into five parts: Part A: The metric and the analytic theory. Part B: Representation theory and generalized structures. Part C: Dynamics.
This volume gives the story a wider context of these decorated Teichmuller spaces as developed by the author over the last two decades in a series of papers, some of them in collaboration.
These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986.
An accessible, self-contained treatment of the complex structure of the Teichmüller moduli spaces of Riemann surfaces. Complex analysts, geometers, and especially string theorists (!) will find this work indispensable. The...
This volume presents surveys, written by experts in the field, on various classical and modern aspects of Hilbert geometry.
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other ...
This volume presents surveys, written by experts in the field, on various classical and the modern aspects of Hilbert geometry.
The book is part biography and part collection of mathematical essays that gives the reader a perspective on the evolution of an interesting mathematical life.