Sergei K Lando

(Author)

Graphs on Surfaces and Their Applications (2004)Hardcover - 2004, 1 December 2003

Graphs on Surfaces and Their Applications (2004)
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Part of Series
Encyclopaedia of Mathematical Sciences
Print Length
455 pages
Language
English
Publisher
Springer
Date Published
1 Dec 2003
ISBN-10
3540002030
ISBN-13
9783540002031

Description

Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.

Product Details

Authors:
Sergei K LandoAlexander K Zvonkin
Book Edition:
2004
Book Format:
Hardcover
Country of Origin:
DE
Date Published:
1 December 2003
Dimensions:
23.39 x 15.6 x 2.54 cm
ISBN-10:
3540002030
ISBN-13:
9783540002031
Language:
English
Location:
Berlin, Heidelberg
Pages:
455
Publisher:
Weight:
834.61 gm

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