LEADER 04232nam 22004215a 450 001 9910151927103321 005 20250513220839.0 010 $a3-03719-603-3 024 70$a10.4171/103 035 $a(CKB)3710000000953887 035 $a(CH-001817-3)153-120609 035 $a(PPN)178156108 035 $a(EXLCZ)993710000000953887 100 $a20120609j20120608 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHandbook of Teichmüller Theory, Volume III /$fAthanase Papadopoulos 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2012 215 $a1 online resource (874 pages) 225 0 $aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;$x2523-5133 ;$v17 327 $tIntroduction to Teichmu?ller theory, old and new, III /$rAthanase Papadopoulos --$tQuasiconformal and BMO-quasiconformal homeomorphisms /$rJean-Pierre Otal --$tEarthquakes on the hyperbolic plane /$rJun Hu --$tKerckhoff's lines of minima in Teichmu?ller space /$rCaroline Series --$tA tale of two groups: arithmetic groups and mapping class groups /$rLizhen Ji --$tSimplicial actions of mapping class groups /$rJohn D. McCarthy, Athanase Papadopoulos --$tOn the coarse geometry of the complex of domains /$rValentina Disarlo --$tMinimal generating sets for the mapping class group /$rMustafa Korkmaz --$tFrom mapping class groups to monoids of homology cobordisms: a survey /$rKazuo Habiro, Gwe?nae?l Massuyeau --$tA survey of Magnus representations for mapping class groups and homology cobordisms of surfaces /$rTakuya Sakasai --$tAsymptotically rigid mapping class groups and Thompson groups /$rLouis Funar, Christophe Kapoudjian, Vlad Sergiescu --$tAn introduction to moduli spaces of curves and their intersection theory /$rDimitri Zvonkine --$tHomology of the open moduli space of curves /$rIb Madsen --$tOn the $L^p$-cohomology and the geometry of metrics on moduli spaces of curves /$rLizhen Ji, Steven Zucker --$tThe Weil-Petersson metric and the renormalized volume of hyperbolic 3-manifolds /$rKirill Krasnov, Jean-Marc Schlenker --$tDiscrete Liouville equation and Teichmu?ller theory /$rRinat Kashaev. 330 $aThe subject of this handbook is Teichmu?ller 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. Teichmu?ller theory and mathematical physics. The handbook is addressed to graduate students and researchers in all the fields mentioned. 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 $a9910151927103321 996 $aHandbook of Teichmu?ller Theory, Volume III$92564450 997 $aUNINA