3 papers
math.GT2026
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…
math.GT2026
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…
math.GT2025
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…