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    INTRODUCTION TO VASSILIEV KNOT INVARIANTS

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    703238

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    Sinopse

    With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to students with little or no knowledge in this area. It also serves as a guide to more advanced material. The book begins with a basic and informal introduction to knot theory, giving many examples of knot invariants before the class of Vassiliev invariants is introduced. This is followed by a detailed study of the algebras of Jacobi diagrams and 3-graphs, and the construction of functions on these algebras via Lie algebras. The authors then describe two constructions of a universal invariant with values in the algebra of Jacobi diagrams: via iterated integrals and via the Drinfeld associator, and extend the theory to framed knots. Various other topics are then discussed, such as Gauss diagram formulae, before the book ends with Vassiliev's original construction.
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    Especificações

    ISBN9781107020832
    Pré vendaNão
    Peso581g
    Autor para link
    Livro disponível - pronta entregaNão
    Dimensões23 x 16 x 2.5
    IdiomaInglês
    Tipo itemLivro Importado
    Número de páginas520
    Código Interno703238
    Código de barras9781107020832
    AcabamentoHARDCOVER
    AutorCAMBRIDGE
    EditoraCAMBRIDGE UNIVERSITY PRESS
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