| 006 | $ a fot ::: 0: |
| 020 | $a9783037197035 |
| 084 | $a30-xx$a14-xx$a32-xx$a37-xx$2msc |
| 099 | $aOnline Resource: EMS |
| 245 | $aHandbook of Teichmüller Theory, Volume VII$h[EBook] /$cAthanase Papadopoulos |
| 260 | $aZuerich, Switzerland :$bEuropean Mathematical Society Publishing House,$c2020 |
| 300 | $a1 online resource (626 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 ;$v30 |
| 505 | $tIntroduction to Teichmüller theory, old and new, VII /$rAthanase Papadopoulos --$tThe Deligne–Mumford compactification and crystallographic groups /$rYukio Matsumoto --$tComplex geometry of Teichmüller domains /$rSubhojoy Gupta, Harish Seshadri --$tHolomorphic quadratic differentials in Teichmüller theory /$rSubhojoy Gupta --$tMostow strong rigidity of locally symmetric spaces revisited /$rLizhen Ji --$tModels of ends of hyperbolic 3-manifolds. A survey /$rMahan Mj --$tUniversal Teichmüller space as a non-trivial example of infinite-dimensional complex manifolds /$rArmen Sergeev --$tGeneralized conformal barycentric extensions of circle maps /$rJun Hu --$tHiggs bundles and higher Teichmüller spaces /$rÓscar García Prada --$tA note on Nicolas-Auguste Tissot: at the origin of quasiconformal mappings /$rAthanase Papadopoulos --$tMemories of Herbert Grötzsch /$rReiner Kühnau --$tA note about Mikhaïl Lavrentieff and his world of analysis in the Soviet Union /$rAthanase Papadopoulos, Galina Sinkevich --$tA letter /$rOswald Teichmüller --$tOn some extremal problems of the conformal mapping /$rHerbert Grötzsch --$tOn some extremal problems of the conformal mapping II /$rHerbert Grötzsch --$tOn the distortion of schlicht non-conformal mappings and on a related extension of Picard’s theorem /$rHerbert Grötzsch --$tOn the distortion of non-conformal schlicht mappings of multiply-connected schlicht regions /$rHerbert Grötzsch --$tOn closest-to-conformal mappings /$rHerbert Grötzsch --$tOn five papers by Herbert Grötzsch /$rVincent Alberge, Athanase Papadopoulos --$tOn a class of continuous representations /$rMikhaïl Lavrentieff --$tA commentary on Lavrentieff’s paper "Sur une classe de représentations continues" /$rVincent Alberge, Athanase Papadopoulos --$tAn application of quasiconformal mappings to the type problem /$rOswald Teichmüller --$tInvestigations on conformal and quasiconformal mappings /$rOswald Teichmüller --$tSimple examples for value distribution /$rOswald Teichmüller --$tTeichmüller’s work on the type problem /$rVincent Alberge, Melkana Brakalova-Trevithick, Athanase Papadopoulos --$tA Commentary on Teichmüller’s paper "Untersuchungen über konforme und quasikonforme Abbildungen" /$rVincent Alberge, Melkana Brakalova-Trevithick, Athanase Papadopoulos --$tValue distribution theory and Teichmüller’s paper "Einfache Beispiele zur Wertverteilungslehre" /$rAthanase Papadopoulos. |
| 520 | $aThe present volume of the Handbook of Teichmüller theory is divided into three parts. The first part contains surveys on various topics in Teichmüller theory, including the complex structure of Teichmüller space, the Deligne–Mumford compactification of the moduli space, holomorphic quadratic differentials, Kleinian groups, hyperbolic 3-manifolds and the ending lamination theorem, the universal Teichmüller space, barycentric extensions of maps of the circle, and the theory of Higgs bundles. The second part consists of three historico-geometrical articles on Tissot (a precursor of the theory of quasiconfomal mappings), Grötzsch and Lavrentieff, the two main founders of the modern theory of quasiconformal mappings. The third part comprises English translations of five papers by Grötzsch, a paper by Lavrentieff, and three papers by Teichmüller. These nine papers are foundational essays on the theories of conformal invariants and quasiconformal mappings, with applications to conformal geometry, to the type problem and to Nevanlinna's theory. The papers are followed by commentaries that highlight the relations between them and between later works on the subject. These papers are not only historical documents; they constitute an invaluable source of ideas for current research in Teichmüller theory. |
| 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/10.4171/203 |
| 856 | $3cover image$uhttps://www.ems-ph.org/img/books/papadopoulos-vii_mini.jpg |
