Handbook of Teichmuller theory

Includes index

Includes bibliographical references

Part A. The metric and the analytic theory, 1 Chapter 1. Harmonic maps and TeichmUiller theory by Georgios D. Daskalopoulos and Richard A. Wentworth 33 Chapter 2. On Teichmliller's metric and Thurston's asymmetric metric on Teichmfiller space by Arthanase Papadopoulos and Guillaume Thdret 111 Chapter 3. Surfaces, circles, and solenoids by Robert C. Penner 205 Chapter 4. About the embedding of TeichmUiller space in the space of geodesic Htlder distributions by Jean-Pierre Otal 223 Chapter 5. Teichmtiller spaces, triangle groups and Grothendieck dessins by William Harvey 249 Chapter 6. On the boundary of Teichmtiller disks in Teichmtiller and in Schottky space by Frmnk Herrlich and Gabriela Schmithiisen 293 Part B. The group theory, 1 Chapter 7. Introduction to mapping class groups of surfaces and related groups by Shigeyuki Morita 353 Chapter 8. Geometric survey of subgroups of mapping class groups by Lee MVosher 387 Chapter 9. Deformations of Kleinian groups by Albert Marden 411 Chapter 10. Geometry of the complex of curves and of Teichmiiller space by Ursula Hamenstiidt 447 Part C. Surfaces with singularities and discrete Riemann surfaces Chapter 11. Parameters for generalized Teichmfiller spaces by Charalampos Charitos and loannis Papadoperakis 471 Chapter 12. On the moduli space of singular euclidean surfaces by Marc Troyanov 507 Chapter 13. Discrete Riemann surfaces by Christian Mercat 541 Part D. The quantum theory, 1 Chapter 14. On quantizing Teichmtiller and Thurston theories by Leonid O. Chekhov and Robert C. Penner. 579 Chapter 15. Dual Teichmtiller and lamination spaces by Vladimir V Fock and Alexander B. Goncharov 647 Chapter 16. An analog of a modular functor from quantized Teichmtiller theory by Jarg Teschner 685 Chapter 17. On quantum moduli space of flat PSL2 (R)-connections by Rinat M. Kashaev 761.