03791nam a22003495a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084001500185245009400200260008200294300003400376336002600410337002600436338003600462347002400498490008300522505133700605506006601942520121702008650003203225650004103257700003703298856003203335856007403367200-151214CH-001817-320151214234500.0a fot ||| 0|cr nn mmmmamaa151214e20160111sz fot ||| 0|eng d a978303719660170a10.4171/1602doi ach0018173 7aPBKG2bicssc a30-xx2msc10aHandbook of Teichmüller Theory, Volume Vh[electronic resource] /cAthanase Papadopoulos3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2016 a1 online resource (596 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;x2523-5133 ;v2600tIntroduction to Teichmüller theory, old and new, V /rAthanase Papadopoulos --tIdentities on hyperbolic manifolds /rMartin Bridgeman, Ser Peow Tan --tProblems on the Thurston metric /rWeixu Su --tMeyer functions and the signature of fibered 4-manifolds /rYusuke Kuno --tThe Goldman–Turaev Lie bialgebra and the Johnson homomorphisms /rNariya Kawazumi, Yusuke Kuno --tA survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics /rTakao Satoh --tGeometry and dynamics on character varieties /rInkang Kim --tCompactifications and reduction theory of geometrically finite locally symmetric spaces /rLizhen Ji --tRepresentations of fundamental groups of 2-manifolds /rLisa Jeffrey --tExtremal quasiconformal mappings and quadratic differentials /rOswald Teichmüller --tA commentary on Teichmüller’s paper Extremale quasikonforme Abbildungen und quadratische Differentiale /rVincent Alberge, Athanase Papadopoulos, Weixu Su --tDetermination of extremal quasiconformal mappings of closed oriented Riemann surfaces /rOswald Teichmüller --tA commentary on Teichmüller’s paper Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Flächen /rAnnette A’Campo-Neuen, Norbert A’Campo, Vincent Alberge, Athanase Papadopoulos.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aThis volume is the fifth in a series dedicated to Teichmüller theory in a broad sense, including the study of various deformation spaces and of mapping class group actions. It is divided into four parts:
Part A: The metric and the analytic theory
Part B: The group theory
Part C: Representation theory and generalized structures
Part D: Sources
The topics that are covered include identities for the hyperbolic geodesic length spectrum, Thurston's metric, the cohomology of moduli space and mapping class groups, the Johnson homomorphisms, Higgs bundles, dynamics on character varieties, and there are many others.
Besides surveying important parts of the theory, several chapters contain conjectures and open problems. The last part contains two fundamental papers by Teichmüller, translated into English and accompanied by mathematical commentaries.
The chapters, like those of the other volumes in this collection, are written by experts who have a broad view on the subject. They have an expository character (which fits with the original purpose of this handbook), but some of them also contain original and new material.
The Handbook is addressed to researchers and to graduate students.07aFunctional analysis2bicssc07aFunctions of a complex variable2msc1 aPapadopoulos, Athanase,eeditor.40uhttps://doi.org/10.4171/160423cover imageuhttps://www.ems-ph.org/img/books/papadopoulos-v_mini.jpg