04822nam a22003615a 4500001001100000003001200011005001700023006001900040007001500059008004100074020001800115024002100133040001400154072001700168084002200185245009500207260008200302300003400384336002600418337002600444338003600470347002400506490008300530505171900613506006602332520179502398650002904193650004104222650005504263700003704318856003204355856007304387178-140530CH-001817-320140530234500.0a fot ||| 0|cr nn mmmmamaa140530e20140530sz fot ||| 0|eng d a978303719617570a10.4171/1172doi ach0018173 7aPBKD2bicssc a30-xxa32-xx2msc10aHandbook of Teichmüller Theory, Volume IVh[electronic resource] /cAthanase Papadopoulos3 aZuerich, Switzerland :bEuropean Mathematical Society Publishing House,c2014 a1 online resource (838 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda0 aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;x2523-5133 ;v1900tIntroduction to Teichmüller theory, old and new, IV /rAthanase Papadopoulos --tLocal and global aspects of Weil–Petersson geometry /rSumio Yamada --tSimple closed geodesics and the study of Teichmüller spaces /rHugo Parlier --tCurve complexes versus Tits buildings: structures and applications /rLizhen Ji --tExtremal length geometry /rHideki Miyachi --tCompactifications of Teichmüller spaces /rKen’ichi Ohshika --tArc geometry and algebra: foliations, moduli spaces, string topology and field theory /rRalph M. Kaufmann --tThe horoboundary and isometry group of Thurston’s Lipschitz metric /rCormac Walsh --tThe horofunction compactification of the Teichmüller metric /rLixin Liu, Weixu Su --tLipschitz algebras and compactifications of Teichmüller space /rHideki Miyachi --tOn the geodesic geometry of infinite-dimensional Teichmüller spaces /rZhong Li --tHolomorphic families of Riemann surfaces and monodromy /rHiroshige Shiga --tThe deformation of flat affine structures on the two-torus /rOliver Baues --tHigher Teichmüller spaces: from SL(2,$\mathbb{R}$) to other Lie groups /rMarc Burger, Alessandra Iozzi, Anna Wienhard --tThe theory of quasiconformal mappings in higher dimensions, I /rGaven J. Martin --tInfinite-dimensional Teichmüller spaces and modular groups /rKatsuhiko Matsuzaki --tTeichmüller spaces and holomorphic dynamics /rXavier Buff, Guizhen Cui, Lei Tan --tA survey of quantum Teichmüller space and Kashaev algebra /rRen Guo --tVariable Riemann surfaces /rOswald Teichmüller --tA commentary on Teichmüller’s paper Veränderliche Riemannsche Flächen /rAnnette A’Campo-Neuen, Norbert A’Campo, Lizhen Ji, Athanase Papadopoulos.1 aRestricted to subscribers:uhttps://www.ems-ph.org/ebooks.php aTeichmüller theory is, since several decades, one of the most active research areas in
mathematics, with a very wide range of points of view, including Riemann surface theory,
hyperbolic geometry, low-dimensional topology, several complex variables, algebraic
geometry, arithmetic, partial differential equations, dynamical systems, representation
theory, symplectic geometry, geometric group theory, and mathematical physics.
The present book is the fourth volume in a Handbook of Teichmüller Theory project
that started as an attempt to present, in a most comprehensive and systematic way,
the various aspects of this theory with its relations to all the fields mentioned. The
handbook is addressed to researchers as well as graduate students.
The present volume is divided into five parts:
Part A: The metric and the analytic theory.
Part B: Representation theory and generalized structures.
Part C: Dynamics.
Part D: The quantum theory.
Part E: Sources.
Parts A, B and D are sequels of parts on the same theme in previous volumes. Part E has
a new character in the series; it contains the translation together with a commentary of
an important paper by Teichmüller which is almost unknown even to specialists. Making
clear the original ideas of and motivations for a theory is crucial for many reasons, and
rendering available this translation together with the commentary that follows will give
a new impulse and will contribute in putting the theory into a broader perspective.
The various volumes in this collection are written by experts who have a broad view on
the subject. In general, the chapters have an expository character, which is the original
purpose of this handbook, while some of them contain new and important results.07aComplex analysis2bicssc07aFunctions of a complex variable2msc07aSeveral complex variables and analytic spaces2msc1 aPapadopoulos, Athanase,eeditor.40uhttps://doi.org/10.4171/117423cover imageuhttps://www.ems-ph.org/img/books/9783037191170_mini.gif