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Electronic version of an article published as "Positive Braids with a Half Twist are Prime," Journal of Knot Theory and Its Ramifications, 6(3), 405 - 415. DOI: 10.1142/S0218216597000261 © copyright World Scientific Publishing Company, http://www.worldscinet.com/jktr/

Abstract

We shall prove that a knot which can be represented by a positive braid with a half twist is prime. This is done by associating to each such braid a smooth branched 2-manifold with boundary and studying its intersection with a would-be cutting sphere.

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