Cyclic branched covers of Seifert links and properties related to the
$ADE$ link conjecture
Cyclic branched covers of Seifert links and properties related to the
$ADE$ link conjecture
In this article we show that all cyclic branched covers of a Seifert link have left-orderable fundamental groups, and therefore admit co-oriented taut foliations and are not $L$-spaces, if and only if it is not an $ADE$ link up to orientation. This leads to a proof of the $ADE$ link …