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Introduction: What is This Book About

  • Sergei K. Lando
  • Alexander K. Zvonkin
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 141)

Abstract

The theory of maps (sometimes also called embedded graphs, or ribbon graphs, or fat graphs, or graphs with rotation), or, otherwise, the topological graph theory, is an old and well established branch of combinatorics. It may justifiably be proud of such classical results as the Euler formula (relating the number of vertices, edges, and faces of a map with the genus of the corresponding surface), and of such notably difficult modern achievements as the Four Color Theorem. But the last two decades witnessed a kind of a volcanic activity in this domain which would have been difficult to predict some 30 years ago.

Keywords

Modulus Space Riemann Surface Meromorphic Function Hopf Algebra Galois Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Sergei K. Lando
    • 1
  • Alexander K. Zvonkin
    • 2
  1. 1.Higher College of Mathematics, Institute for System Research, Russian Academy of SciencesIndependent University of MoscowMoscowRussia
  2. 2.LaBRIUniversité Bordeaux ITalence CedexFrance

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