By Vagn Lundsgaard Hansen

This ebook is predicated on a graduate path taught by means of the writer on the collage of Maryland, united states. The lecture notes were revised and augmented via examples. The paintings falls into strands. the 1st chapters strengthen the ordinary conception of Artin Braid teams either geometrically and through homotopy concept, and speak about the hyperlink among knot conception and the combinatorics of braid teams via Markov's Theorem. the ultimate chapters supply an in depth research of polynomial overlaying maps, that may be seen as a homomorphism of the basic team of the bottom house into the Artin braid crew on n strings. This ebook may be of curiosity to either topologists and algebraists operating in braid theory.

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