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math.GT2016
-Burau maps and -Alexander torsions
Fathi Ben Aribi, Anthony Conway
It is well known that the Burau representation of the braid group can be used to recover the Alexander polynomial of the closure of a braid. We define -Burau maps and use them…
math.GT2016★ 2 cited
Gluing formulas for the -Alexander torsions
Fathi Ben Aribi
We prove a Torres-like formula for the -Alexander torsions of links, as well as formulas for connected sums and cablings of links. Along the way we compute explicitly the $L^2…