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Moduli spaces of curves, mapping class groups, and field theory

Author: Xavier Buff
Publisher: Providence, R.I. : American Mathematical Society, ©2003.
Series: SMF/AMS texts and monographs, v. 9.; Panoramas et synthèses, 7.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book grew out of a workshop on the applications of moduli spaces of Riemann surfaces in theoretical physics and number theory and on Grothendieck's dessins d'enfants and their generalizations. Chapter 1 gives an introduction to Teichmuller space that is more concise than the popular textbooks, yet contains full proofs of many useful results which are often difficult to find in the literature. This chapter also  Read more...
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Genre/Form: Besançon (1995)
Kongress
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Xavier Buff
ISBN: 0821831674 9780821831670
OCLC Number: 51817310
Description: viii, 131 pages : illustrations ; 26 cm.
Contents: Ch. 1. Elements of the geometry of moduli spaces of curves / Xavier Buff, Jerome Fehrenbach and Pierre Lochak --
Ch. 2. Fundamental groupoids of genus zero moduli spaces and braided tensor categories / Leila Schneps --
Ch. 3. Witten-Reshetikhin-Turaev Invariants and Quantum Field Theories / Pierre Vogel.
Series Title: SMF/AMS texts and monographs, v. 9.; Panoramas et synthèses, 7.
Other Titles: Espaces de modules des courbes, groupes modulaires et théorie des champs.
Responsibility: Xavier Buff [and others] ; translated by Leila Schneps.
More information:

Abstract:

Presents applications of moduli spaces of Riemann surfaces in theoretical physics and number theory and on Grothendieck's dessins d'enfants and their generalizations. This book gives an introduction  Read more...

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