Handbook of Teichmuller theory; Vol.4 (Zurich, 2014). - ОГЛАВЛЕНИЕ / CONTENTS

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ОбложкаHandbook of Teichmuller theory. Vol.4 / ed. by A.Papadopoulos; Institut de recherche mathematique avancee (Strasbourg). - Zürich: European mathematical society, 2014. - xi, 827 p.: ill. - (IRMA lectures in mathematics and theoretical physics; 19-4). - Bibliogr. at the end of the chapters. - Ind.: p.817-827. - ISBN 978-3-03719-117-0
 

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Оглавление / Contents
 
Foreword ...................................................... vii

Introduction to Teichmüller theory, old and new, IV
   by Athanase Papadopoulos ..................................... 1

Part A. The metric and the analytic theory, 4

Chapter 1. Local and global aspects of Weil-Petersson
geometry
   by Sumio Yamada ............................................. 43

Chapter 2. Simple closed geodesies and the study of
Teichmüller spaces
   by Hugo Parlier ............................................ 113

Chapter 3. Curve complexes versus Tits buildings: structures
and applications
   by Lizhen Ji ............................................... 135

Chapter 4. Extremal length geometry
   by Hideki Miyachi .......................................... 197

Chapter 5. Compactifications of Teichmüller spaces
   by Ken'ichi Ohshika ........................................ 235

Chapter 6. Arc geometry and algebra: foliations, moduli
spaces, string topology and field theory
   by Ralph M. Kaufmann ....................................... 255

Chapter 7. The horoboundary and isometry group of Thurston's
Lipschitz metric
   by Cormac Walsh ............................................ 327

Chapter 8. The horofunction compactification of the
Teichmüller metric
   by Lixin Liu and Weixu Su .................................. 355

Chapter 9. Lipschitz algebras and compactifications of
Teichmüller space
   by Hideki Miyachi .......................................... 375

Chapter 10. Asymptotically rigid mapping class groups and
Thompson's groups
   by Zhong Li ................................................ 415

Chapter 11. Holomorphic families of Riemann surfaces and
monodromy
   by Hiroshige Shiga ......................................... 439

Part B. Representation spaces and generalized structures, 2

Chapter 12. The deformation of flat affine structures on
the two-torus
   by Oliver Baues ............................................ 461

Chapter 13. Higher Teichmüller spaces: from SL(2, fig.1) to
other Lie groups
   by Marc Burger, Alessandra Iozzi, and Anna Wienhard ........ 539

Chapter 14. The theory of quasiconformal mappings in higher
dimensions, I
   by Gaven J. Martin ......................................... 619

Part C. Dynamics

Chapter 15. Infinite-dimensional Teichmüller spaces and
modular groups
   by Katsuhiko Matsuzaki ..................................... 681

Chapter 16. Teichmüller spaces and holomorphic dynamics
   by Xavier Buff, Guizhen Cui, and Lei Tan ................... 717

Part D. The quantum theory, 2

Chapter 17. A survey of quantum Teichmüller space and
Kashaev algebra
   by Ren Guo ................................................. 759

Part E. Sources

Chapter 18. Variable Riemann surfaces (translated from the
German by Annette A'Campo-Neuen)
   by Oswald Teichmüller ...................................... 787

Chapter 19. A commentary on Teichmüller's paper
"Veränderliche Riemannsche Flächen"
   by Annette A'Campo-Neuen, Norbert A'Campo, Lizhen Ji,
   and Athanase Papadopoulos .................................. 805

List of Contributors .......................................... 815

Index ......................................................... 837


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