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math.GT2015
Burau maps and twisted Alexander polynomials
Anthony Conway
The Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define twisted Burau maps and use them to compute twisted…
math.GT2015★ 4 cited
Colored tangles and signatures
David Cimasoni, Anthony Conway
Taking the signature of the closure of a braid defines a map from the braid group to the integers. In 2005, Gambaudo and Ghys expressed the homomorphism defect of this map in terms…