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001 | 96-091109 | ||
003 | CH-001817-3 | ||
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020 | _a9783037195550 | ||
024 | 7 | 0 |
_a10.4171/055 _2doi |
040 | _ach0018173 | ||
072 | 7 |
_aPBKD _2bicssc |
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084 |
_a30-xx _a32-xx _2msc |
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245 | 1 | 0 |
_aHandbook of Teichmüller Theory, Volume II _h[electronic resource] / _cAthanase Papadopoulos |
260 | 3 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2009 |
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264 | 1 |
_aZuerich, Switzerland : _bEuropean Mathematical Society Publishing House, _c2009 |
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300 | _a1 online resource (883 pages) | ||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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_aIRMA Lectures in Mathematics and Theoretical Physics (IRMA) _v13 |
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505 | 0 | 0 |
_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. |
506 | 1 |
_aRestricted to subscribers: _uhttp://www.ems-ph.org/ebooks.php |
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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. | ||
650 | 0 | 7 |
_aComplex analysis _2bicssc |
650 | 0 | 7 |
_aFunctions of a complex variable _2msc |
650 | 0 | 7 |
_aSeveral complex variables and analytic spaces _2msc |
700 | 1 |
_aPapadopoulos, Athanase, _eeditor. |
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856 | 4 | 0 | _uhttps://doi.org/10.4171/055 |
856 | 4 | 2 |
_3cover image _uhttp://www.ems-ph.org/img/books/irma13_mini.jpg |
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