Graphs on Surfaces and Their Applications

by Sergei Lando, R.V. Gamkrelidze (Editor), V.A. Vassiliev (Editor)

0 What is This Book About.- 1 Constellations, Coverings, and Maps.- 2 Dessins d'Enfants.- 3 Introduction to the Matrix Integrals Method.- 4 Geometry of Moduli Spaces of Complex Curves.- 5 Meromorphic Functions and Embedded Graphs.- 6 Algebraic Structures Associated with Embedded Graphs.- A.1 Representation Theory of Finite Groups.- A.1.1 Irreducible Representations and Characters.- A.1.2 Examples.- A.1.3 Frobenius's Formula.- A.2 Applications.- A.2.2 Examples.- A.2.3 First Enumeration of Polygon Gluings.- A.2.4 Second the Goulden-Jackson Formula.- A.2.5 Third "Mirror Symmetry" in Dimension One.- References.

Genres: Mathematics

472 pages, Paperback

First published November 2, 2010

Reviews

[The Architect]

This book is insane.