Properties of Closed 3-Braids and Braid Representations of Links (eBook, PDF)

Properties of Closed 3-Braids and Braid Representations of Links (eBook, PDF)

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This book studies diverse aspects of braid representations via knots and links. Complete classification results are illustrated for several properties through Xu's normal 3-braid form and the Hecke algebra representation theory of link polynomials developed by Jones. Topological link types are identified within closures of 3-braids which have a given Alexander or Jones polynomial. Further classifications of knots and links arising by the closure of 3-braids are given, and new results about 4-braids are part of the work. Written with knot theorists, topologists,and graduate students in mind, th...

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