Anthony Conway

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math.GT2024

$Z$ -disks in $C P^{2}$

Anthony Conway, Irving Dai, Maggie Miller

We study locally flat disks in $(C P^{2})^{\circ} := (C P^{2}) ∖ B^{4} ˚$ with boundary a fixed knot $K$ and whose complement has fundamental group $\mathbb…

math.GT2016

$L^{2}$ -Burau maps and $L^{2}$ -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 $L^{2}$ -Burau maps and use them…

Z-disks in CP2

L2-Burau maps and L2-Alexander torsions

$Z$ -disks in $C P^{2}$

$L^{2}$ -Burau maps and $L^{2}$ -Alexander torsions