Graphs on Surfaces and Their Applications

Language: English

Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2003

3540002030 / 9783540002031

Series: Book 29 of 47 - Encyclopaedia of Mathematical Sciences

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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.

Seller Inventory # LU-9783540002031

Title
Graphs on Surfaces and Their Applications
Author
Sergei K. Lando, Alexander K. Zvonkin
Publisher
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE
Publication year
2003
Condition
New
Binding
Hardback
Language
English
ISBN 10
3540002030
ISBN 13
9783540002031
Edition
2004 ed.
Series
Book 29 of 47: Encyclopaedia of Mathematical Sciences

Rarewaves.com UK

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