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LES NOUVEAUX OUTILS DE L'ENTREPRISE DE DEMAIN

de Philippe Mounier

LES NOUVEAUX OUTILS DE L'ENTREPRISE DE DEMAIN




 


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Graphs on Surfaces and Their Applications

Titre :

Graphs on Surfaces and Their Applications

Caractéristiques :


Auteur(s) :Alexander K. Zvonkin, Sergei K. Lando, V.A. Vassiliev et R.V. Gamkrelidze
Editeur :SPRINGER VERLAG
Parution :12/2010
Langue :Anglais Anglais
ISBN :978-3-642-05523-2
Reliure :Paperback
Prix :195.00 € ttc
Disponibilité :Livraison sous 2 à 10 jours ouvrables.

Couverture :


Graphs on Surfaces and Their Applications

Résumé :

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.

Table des matières :

Preface.- Introduction: What is This Book About.- Constellations, Coverings, Maps.- Dessins d'Enfants.- Introduction to the Matrix Integrals Method.- Geometry of Moduli Spaces of Complex Curves.- Meromorphic Functions and Embedded Graphs.- Algebraic Structures Associated with Embedded Graphs.- Bibliography.- Index.

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