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Graphs on Surfaces and Their Applications: Vol 141 (Encyclopaedia of Mathematical Sciences) Pdf

Download Graphs on Surfaces and Their Applications: Vol 141 (Encyclopaedia of Mathematical Sciences) Pdf

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Book Description:

Graphs drawn on two-dimensional surfaces have all of the time attracted researchers by their magnificence and by the variability of troublesome inquiries to which they supply rise. The thought of such embedded graphs, which long appeared considerably isolated, has witnessed the appears of completely sudden new functions in present many years, ranging from Galois precept to quantum gravity fashions, and has develop to be a kind of a highlight of an unlimited space of evaluation. The book presents an accessible introduction to this new space, along with such topics as coverings of Riemann surfaces, the Galois group movement on embedded graphs (Grothendieck's precept of "dessins d'enfants"), the matrix integral method, moduli areas of curves, the topology of meromorphic options, and combinatorial factors of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group illustration precept. The presentation is concrete all via, with fairly a couple of figures, examples (along with laptop calculations) and exercises, and should attraction to every graduate school college students and researchers.




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