LEADER 04592nam 22004215a 450 001 9910151932603321 005 20091109150325.0 010 $a3-03719-555-X 024 70$a10.4171/055 035 $a(CKB)3710000000953849 035 $a(CH-001817-3)96-091109 035 $a(PPN)178155586 035 $a(EXLCZ)993710000000953849 100 $a20091109j20090325 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHandbook of Teichmu?ller Theory, Volume II$b[electronic resource] /$fAthanase Papadopoulos 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2009 215 $a1 online resource (883 pages) 225 0 $aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;$x2523-5133 ;$v13 327 $tIntroduction to Teichmu?ller theory, old and new, II /$rAthanase Papadopoulos --$tThe Weil-Petersson metric geometry /$rScott A. Wolpert --$tInfinite dimensional Teichmu?ller spaces /$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, Andra?s I. Stipsicz --$tIntroduction to measurable rigidity of mapping class groups /$rYoshikata Kida --$tAffine groups of flat surfaces /$rMartin Mo?ller --$tBraid groups and Artin groups /$rLuis Paris --$tComplex projective structures /$rDavid Dumas --$tCircle packing and Teichmu?ller space /$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 --$tSpin networks and SL(2,?)-character varieties /$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 Schmithu?sen --$tThe Teichmu?ller theory of the solenoid /$rDragomir S?aric?. 330 $aThis multi-volume set deals with Teichmu?ller 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 Teichmu?ller theory. The aim is to give a complete panorama of this generalized Teichmu?ller 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 Teichmu?ller 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-Teichmu?ller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmu?ller theory of the soleniod). This handbook is an essential reference for graduate students and researchers interested in Teichmu?ller 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. 606 $aComplex analysis$2bicssc 606 $aFunctions of a complex variable$2msc 606 $aSeveral complex variables and analytic spaces$2msc 615 07$aComplex analysis 615 07$aFunctions of a complex variable 615 07$aSeveral complex variables and analytic spaces 686 $a30-xx$a32-xx$2msc 702 $aPapadopoulos$b Athanase 801 0$bch0018173 906 $aBOOK 912 $a9910151932603321 996 $aHandbook of Teichmu?ller Theory, Volume II$92565445 997 $aUNINA