| 006 | $ a fot ::: 0: |
| 020 | $a9783037195550 |
| 084 | $a30-xx$a32-xx$2msc |
| 099 | $aOnline Resource: EMS |
| 245 | $aHandbook of Teichmüller Theory, Volume II$h[EBook] /$cAthanase Papadopoulos |
| 260 | $aZuerich, Switzerland :$bEuropean Mathematical Society Publishing House,$c2009 |
| 300 | $a1 online resource (883 pages) |
| 336 | $atext$btxt$2rdacontent |
| 337 | $acomputer$bc$2rdamedia |
| 338 | $aonline resource$bcr$2rdacarrier |
| 440 | $aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) ;$x2523-5133 ;$v13 |
| 505 | $tIntroduction to Teichmüller theory, old and new, II /$rAthanase Papadopoulos --$tThe Weil–Petersson metric geometry /$rScott A. Wolpert --$tInfinite dimensional Teichmüller spaces /$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, András I. Stipsicz --$tIntroduction to measurable rigidity of mapping class groups /$rYoshikata Kida --$tAffine groups of flat surfaces /$rMartin Möller --$tBraid groups and Artin groups /$rLuis Paris --$tComplex projective structures /$rDavid Dumas --$tCircle packing and Teichmüller space /$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 --$tSpin networks and SL(2,ℂ)-character varieties /$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 Schmithüsen --$tThe Teichmüller theory of the solenoid /$rDragomir Šarić. |
| 520 | $aThis multi-volume set deals with Teichmüller 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 Teichmüller theory. The aim is to give a complete panorama of this generalized Teichmüller 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 Teichmüller 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–Teichmüller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmüller theory of the soleniod). This handbook is an essential reference for graduate students and researchers interested in Teichmüller 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. |
| 533 | $nMode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| 538 | $aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| 700 | $aPapadopoulos, Athanase,$eeditor. |
| 856 | $uhttps://doi.org/10.4171/055 |
| 856 | $3cover image$uhttps://www.ems-ph.org/img/books/irma13_mini.jpg |
