The Alexander polynomial for closed braids in lens spaces

2019/01/04 by Gabrovšek, Boštjan, Horvat, Eva
#57M07 (Secondary) #57M27 (Primary) 20F36 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1901.01191

Abstract

We present a reduced Burau-like representation for the mixed braid group on one strand representing links in lens spaces and show how to calculate the Alexander polynomial of a link directly from the mixed braid.

Related

• Burau maps and twisted Alexander polynomials
• The Multivariable Alexander Polynomial for a Closed Braid
• L²-Burau maps and L²-Alexander torsions
• On the Links-Gould invariant and the square of the Alexander polynomial
• The braid approach to the HOMFLYPT skein module of the lens spaces L(p,1)