Braids and Coverings: Selected Topics (London Mathematical - download pdf or read online

By Vagn Lundsgaard Hansen

This publication relies on a graduate path taught by means of the writer on the college of Maryland, united states. The lecture notes were revised and augmented by way of examples. The paintings falls into strands. the 1st chapters increase the effortless conception of Artin Braid teams either geometrically and through homotopy conception, and talk about the hyperlink among knot idea and the combinatorics of braid teams via Markov's Theorem. the ultimate chapters supply an in depth research of polynomial overlaying maps, that could be seen as a homomorphism of the basic workforce of the bottom area into the Artin braid staff on n strings. This booklet can be of curiosity to either topologists and algebraists operating in braid theory.

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