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Graphs on surfaces and their applications

Author: Sergei K Lando; Alexander K Zvonkin; Don Zagier
Publisher: Berlin ; New York ; Heidelberg : Springer, cop. 2004.
Series: Low-dimensional topology, 2; Encyclopaedia of mathematical sciences, 141.
Edition/Format:   Print book : EnglishView all editions and formats
Publication:Low-dimensional topology, 2
Database:WorldCat
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Document Type: Book
All Authors / Contributors: Sergei K Lando; Alexander K Zvonkin; Don Zagier
ISBN: 3540002030 9783540002031
OCLC Number: 491534796
Description: 1 vol. (XV-455 p.) : fig., couv. ill. ; 24 cm.
Contents: 0 Introduction: 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 Application: Enumeration of Polygon Gluings.- A.2.4 Second Application: the Goulden-Jackson Formula.- A.2.5 Third Application: "Mirror Symmetry" in Dimension One.- References.
Series Title: Low-dimensional topology, 2; Encyclopaedia of mathematical sciences, 141.
Responsibility: Sergei K. Lando, Alexander K. Zvonkin ; appendix by Don B. Zagier.
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From the reviews: "The goal of this book is to explain the interrelations between three distinct ways to consider an embedded graph: as a topological object, as a sequence of permutations, as a way Read more...

 
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