000 -LEADER |
fixed length control field |
04623nam a22003975a 4500 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
ISBN |
9783037195550 |
245 10 - TITLE STATEMENT |
Title |
Handbook of Teichmüller Theory, Volume II |
Statement of responsibility, etc |
Athanase Papadopoulos |
260 3# - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication |
Zuerich, Switzerland : |
Name of publisher |
European Mathematical Society Publishing House, |
Year of publication |
2009 |
300 ## - PHYSICAL DESCRIPTION |
Number of Pages |
1 online resource (883 pages) |
490 0# - SERIES STATEMENT |
Series statement |
IRMA Lectures in Mathematics and Theoretical Physics (IRMA) |
520 ## - SUMMARY, ETC. |
Summary, etc |
This multi-volume set deals with Teichmüller theory in the broadest sense, namely, as the study of moduli space of geometric structures on surfaces, with methods inspired or adapted from those of classical Teichmüller theory. The aim is to give a complete panorama of this generalized Teichmüller theory and of its applications in various fields of mathematics. The volumes consist of chapters, each of which is dedicated to a specific topic. The present volume has 19 chapters and is divided into four parts: The metric and the analytic theory (uniformization, Weil–Petersson geometry, holomorphic families of Riemann surfaces, infinite-dimensional Teichmüller spaces, cohomology of moduli space, and the intersection theory of moduli space). The group theory (quasi-homomorphisms of mapping class groups, measurable rigidity of mapping class groups, applications to Lefschetz fibrations, affine groups of flat surfaces, braid groups, and Artin groups). Representation spaces and geometric structures (trace coordinates, invariant theory, complex projective structures, circle packings, and moduli spaces of Lorentz manifolds homeomorphic to the product of a surface with the real line). The Grothendieck–Teichmüller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmüller theory of the soleniod). This handbook is an essential reference for graduate students and researchers interested in Teichmüller theory and its ramifications, in particular for mathematicians working in topology, geometry, algebraic geometry, dynamical systems and complex analysis. The authors are leading experts in the field. |
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Complex analysis |
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Functions of a complex variable |
650 07 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Several complex variables and analytic spaces |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Papadopoulos, Athanase, |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
https://doi.org/10.4171/055 |
856 42 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://www.ems-ph.org/img/books/irma13_mini.jpg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
E-BOOKS |
264 #1 - |
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Zuerich, Switzerland : |
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European Mathematical Society Publishing House, |
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2009 |
336 ## - |
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text |
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txt |
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rdacontent |
337 ## - |
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computer |
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rdamedia |
338 ## - |
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online resource |
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cr |
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rdacarrier |
347 ## - |
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text file |
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PDF |
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rda |