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Graphs on surfaces and their applications

Author: S K Lando; A K Zvonkin
Publisher: Berlin ; New York : Springer, ©2004.
Series: Encyclopaedia of mathematical sciences, v. 141.; Encyclopaedia of mathematical sciences., Low-dimensional topology ;, 2.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S K Lando; A K Zvonkin
ISBN: 3540002030 9783540002031
OCLC Number: 53393734
Description: xv, 455 p. : ill. ; 25 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: Encyclopaedia of mathematical sciences, v. 141.; Encyclopaedia of mathematical sciences., Low-dimensional topology ;, 2.
Other Titles: Grafy na poverkhnosti︠a︡kh i ikh prilozhenii︠a︡.
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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