04157nam a22003615a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084002200185245009600207260008200303300003400385336002600419337002600445338003600471347002400507490008300531505142300614506006602037520143202103650002903535650004103564650005503605700003703660856003203697856006603729153-120609CH-001817-320120609234500.0a fot ||| 0|cr nn mmmmamaa120609e20120608sz fot ||| 0|eng d a978303719603870a10.4171/1032doi ach0018173 7aPBKD2bicssc a30-xxa32-xx2msc10aHandbook of Teichmüller Theory, Volume IIIh[electronic resource] /cAthanase Papadopoulos3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2012 a1 online resource (874 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;x2523-5133 ;v1700tIntroduction to Teichmüller 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 Teichmüller 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, Gwénaël 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 Teichmüller theory /rRinat Kashaev.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThe subject of this handbook is Teichmüller 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.
Teichmüller theory and mathematical physics.
The handbook is addressed to graduate students and researchers in all the fields mentioned.07aComplex analysis2bicssc07aFunctions of a complex variable2msc07aSeveral complex variables and analytic spaces2msc1 aPapadopoulos, Athanase,eeditor.40uhttps://doi.org/10.4171/103423cover imageuhttps://www.ems-ph.org/img/books/irma17_mini.jpg