Description du livre Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapter. As just mentioned, in Chapter 7, we shall discuss the difference between braid equivalence and braid homotopy. Also in this chapter, we define a homotopy braid invariant that turns out to be the so-called Milnor number. Chapter 8 is a quick review of knot theory, including Alexander's theorem. While, Chapters 9 is devoted to Markov's theorem, which allows the application of this theory to other fields. This was one of the motivations Artin had in mind when he began studying braid theory. In Chapter 10, we discuss the primary applications of braid theory to knot theory, including the introduction of the most important invariants of knot theory, the Alexander polynomial and the Jones polynomial. In Chapter 11, motivated by Dirac's string problem, the ordinary braid group is generalized to the braid groups of various surfaces. We discuss these groups from an intuitive and diagrammatic point of view. In the last short chapter 12, we present without proof one theorem, due to Gorin and Lin [GoL] , that is a surprising application of braid theory to the theory of algebraic equations. 292 pp. Englisch. N� de r�f. du vendeur 9780792357674

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Study of Braids

Murasugi, Kunio; Kurpita, Bohdan I.

Edit� par Springer (1999)

ISBN 10 : 0792357671 ISBN 13 : 9780792357674

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Description du livre Etat : New. N� de r�f. du vendeur 756248-n

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A Study of Braids

Kunio Murasugi

Edit� par Springer (1999)

ISBN 10 : 0792357671 ISBN 13 : 9780792357674

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Description du livre Hardback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. N� de r�f. du vendeur C9780792357674

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A Study of Braids

B. Kurpita

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Description du livre Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - In Chapter 6, we describe the concept of braid equivalence from the topological point of view. This will lead us to a new concept braid homotopy that is discussed fully in the next chapter. As just mentioned, in Chapter 7, we shall discuss the difference between braid equivalence and braid homotopy. Also in this chapter, we define a homotopy braid invariant that turns out to be the so-called Milnor number. Chapter 8 is a quick review of knot theory, including Alexander's theorem. While, Chapters 9 is devoted to Markov's theorem, which allows the application of this theory to other fields. This was one of the motivations Artin had in mind when he began studying braid theory. In Chapter 10, we discuss the primary applications of braid theory to knot theory, including the introduction of the most important invariants of knot theory, the Alexander polynomial and the Jones polynomial. In Chapter 11, motivated by Dirac's string problem, the ordinary braid group is generalized to the braid groups of various surfaces. We discuss these groups from an intuitive and diagrammatic point of view. In the last short chapter 12, we present without proof one theorem, due to Gorin and Lin [GoL] , that is a surprising application of braid theory to the theory of algebraic equations. N� de r�f. du vendeur 9780792357674

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