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Graphs on surfaces and their applications

著者: S K Lando; A K Zvonkin
出版商: Berlin ; New York : Springer, ©2004.
丛书: Encyclopaedia of mathematical sciences, v. 141.; Encyclopaedia of mathematical sciences., Low-dimensional topology ;, 2.
版本/格式:   图书 : 英语查看所有的版本和格式
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材料类型: 互联网资源
文件类型: 书, 互联网资源
所有的著者/提供者: S K Lando; A K Zvonkin
ISBN: 3540002030 9783540002031
OCLC号码: 53393734
描述: xv, 455 p. : ill. ; 25 cm.
内容: 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.
丛书名: Encyclopaedia of mathematical sciences, v. 141.; Encyclopaedia of mathematical sciences., Low-dimensional topology ;, 2.
其他题名: Grafy na poverkhnosti︠a︡kh i ikh prilozhenii︠a︡.
责任: 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 再读一些...

 
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