By Sergei K. Lando,Alexander K. Zvonkin,R.V. Gamkrelidze,V.A. Vassiliev
Graphs drawn on two-dimensional surfaces have constantly attracted researchers via their good looks and through the range of adverse inquiries to which they offer upward push. the speculation of such embedded graphs, which lengthy appeared fairly remoted, has witnessed the looks of solely unforeseen new purposes in fresh many years, starting from Galois conception to quantum gravity types, and has develop into one of those a spotlight of an enormous box of study. The ebook presents an obtainable advent to this new area, together with such subject matters as coverings of Riemann surfaces, the Galois team motion on embedded graphs (Grothendieck's conception of "dessins d'enfants"), the matrix vital process, moduli areas of curves, the topology of meromorphic capabilities, and combinatorial facets of Vassiliev's knot invariants and, in an appendix by way of Don Zagier, using finite staff illustration concept. The presentation is concrete all through, with various figures, examples (including laptop calculations) and workouts, and may entice either graduate scholars and researchers.
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Extra resources for Graphs on Surfaces and Their Applications (Encyclopaedia of Mathematical Sciences)
Graphs on Surfaces and Their Applications (Encyclopaedia of Mathematical Sciences) by Sergei K. Lando,Alexander K. Zvonkin,R.V. Gamkrelidze,V.A. Vassiliev