Graphs on Surfaces and Their Applications PDF
By:Sergei K. Lando,Alexander K. Zvonkin
Published on 2013-04-17 by Springer Science & Business Media
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.
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Book ID of Graphs on Surfaces and Their Applications's Books is nFnyCAAAQBAJ, Book which was written bySergei K. Lando,Alexander K. Zvonkinhave ETAG "K174sIzac+4"
Book which was published by Springer Science & Business Media since 2013-04-17 have ISBNs, ISBN 13 Code is 9783540383611 and ISBN 10 Code is 3540383611
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Book which have "455 Pages" is Printed at BOOK under CategoryMathematics
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