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Braid Groups

Vladimir Turaev, Christian Kassel

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Springer New York img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

Beschreibung

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.

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Schlagwörter

algebra, Permutation, Iwahori-Hecke, Burau, low-dimensional topology, Homotopy, Garside, configuration spaces, fibrations, Representation theory, Markov, homeomorphisms of surfaces, topology, Theoretical physics