4 papers · 1 filter
Toroidal 3-manifolds have circularly orderable fundamental groups
Steven Boyer, Cameron McA. Gordon, Ying Hu
In this article we prove that toroidal 3-manifolds have circularly-orderable fundamental groups by showing that they admit finite cyclic covers with left-orderable fundamental grou…
On 3-manifolds admitting co-orientable taut foliations, but none with vanishing Euler class
Steven Boyer, Cameron McA. Gordon, Ying Hu +1
In this article, we construct infinitely many (small Seifert fibred, hyperbolic and toroidal) rational homology -spheres that admit co-orientable taut foliations, but none with…
Slope detection, taut foliations, and the relative L-space conjecture
Steven Boyer, Cameron McA. Gordon, Ying Hu
The -space conjecture asserts the equivalence, for prime -manifolds, of three properties: not being an -space (), having a left-orderable fundamental group (), an…
Cyclic branched covers of Seifert links and properties related to the link conjecture
Steven Boyer, Cameron McA. Gordon, Ying Hu
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 -sp…