Moduli Spaces of Curves, Vol. 9
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 contains an introduction to moduli spaces of curves, with a detailed...
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Beginning with an introduction to Teichmüller space and the moduli spaces of curves, this book gives a complete description of the genus zero moduli spaces and their fundamental groupoids and then goes on to use other Grothendieck-Teichmüller theory to compute a study of the canonical Galois action on the fundamental groupoids. There is no index. Annotation ©2003 Book News, Inc., Portland, OR
PrefaceCh. 1Elements of the geometry of moduli spaces of curves1Ch. 2Fundamental groupoids of genus zero moduli spaces and braided tensor categories59Ch. 3Witten-Reshetikhin-Turaev Invariants and Quantum Field Theories105
