Graphs on Surfaces and Their Applications

Name: Graphs on Surfaces and Their Applications
SKU: 8961320
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Encyclopaedia of Mathematical Sciences

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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.

Author Biography:

Sergei LANDO graduated from the Moscow State University in 1977, got the PhD degree from the Moscow State University in 1986 under the supervision of Prof. V.I. Arnold; worked for the Russian Academy of Sciences in 1986-1990 and since 1996 till now; one of the organizers (1991), and currently professor and vice-president of the Independent University of Moscow. Alexander ZVONKIN graduated from the Moscow State University in 1970, got the PhD degree form the Moscow State University in 1974 under the supervision of Prof. A.N.Shiryaev; worked as associate professor (1973-1975), as industrial researcher (1975-1988), and in the USSR Academy of Sciences (1989-1992); from 1991 till now, professor of computer science at Bordeaux I University, Bordeaux, France.

Release date Australia

December 1st, 2010

Author

Audience

Professional & Vocational

Contributors

Edited by R.V. Gamkrelidze
Edited by V. A. Vassiliev

Edition

Softcover reprint of hardcover 1st ed. 2004

Illustrations

3 Illustrations, black and white; XV, 455 p. 3 illus.

Pages

455

Series

Encyclopaedia of Mathematical Sciences

Dimensions

155x235x24

ISBN-13

9783642055232

Product ID

8961320

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