04487nam a22003615a 450000100100000000300120001000500170002200600190003900700150005800800410007302000180011402400210013204000140015307200170016708400220018424500950020626000820030130000340038333600260041733700260044333800360046934700240050549000830052950515200061250600660213252016670219865000290386565000410389465000550393570000370399085600320402785600660405996-091109CH-001817-320091109150325.0a fot ||| 0|cr nn mmmmamaa091109e20090325sz fot ||| 0|eng d a978303719555070a10.4171/0552doi ach0018173 7aPBKD2bicssc a30-xxa32-xx2msc10aHandbook of Teichmüller Theory, Volume IIh[electronic resource] /cAthanase Papadopoulos3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2009 a1 online resource (883 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;x2523-5133 ;v1300tIntroduction to Teichmüller theory, old and new, II /rAthanase Papadopoulos --tThe Weil–Petersson metric geometry /rScott A. Wolpert --tInfinite dimensional Teichmüller spaces /rAlastair Fletcher, Vladimir Markovic --tA construction of holomorphic families of Riemann surfaces over the punctured disk with given monodromy /rYoichi Imayoshi --tThe uniformization problem /rRobert Silhol --tRiemann surfaces, ribbon graphs and combinatorial classes /rGabriele Mondello --tCanonical 2-forms on the moduli space of Riemann surfaces /rNariya Kawazumi --tQuasi-homomorphisms on mapping class groups /rKoji Fujiwara --tLefschetz fibrations on 4-manifolds /rMustafa Korkmaz, András I. Stipsicz --tIntroduction to measurable rigidity of mapping class groups /rYoshikata Kida --tAffine groups of flat surfaces /rMartin Möller --tBraid groups and Artin groups /rLuis Paris --tComplex projective structures /rDavid Dumas --tCircle packing and Teichmüller space /rSadayoshi Kojima --t(2+1) Einstein spacetimes of finite type /rRiccardo Benedetti, Francesco Bonsante --tTrace coordinates on Fricke spaces of some simple hyperbolic surfaces /rWilliam M. Goldman --tSpin networks and SL(2,ℂ)-character varieties /rSean Lawton, Elisha Peterson --tGrothendieck’s reconstruction principle and 2-dimensional topology and geometry /rFeng Luo --tDessins d’enfants and origami curves /rFrank Herrlich, Gabriela Schmithüsen --tThe Teichmüller theory of the solenoid /rDragomir Šarić.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThis 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.07aComplex analysis2bicssc07aFunctions of a complex variable2msc07aSeveral complex variables and analytic spaces2msc1 aPapadopoulos, Athanase,eeditor.40uhttps://doi.org/10.4171/055423cover imageuhttps://www.ems-ph.org/img/books/irma13_mini.jpg