Finiteness of singular orbits of pseudo-Anosov flows
We show that for any closed atoroidal 3-manifold $M$, there are only finitely many isotopy classes of links that can arise as singular orbits of pseudo-Anosov flows on $M$.
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arXiv subjects
Lily Qiao Li
Publications and source records attributed to Lily Qiao Li.
Lower Bounds on Volumes of Hyperbolic 3-Manifolds via Decomposition
In a variety of settings we provide a method for decomposing a 3-manifold $M$ into pieces. When the pieces have the appropriate type of hyperbolicity, then the manifold $M$ is hyperbolic and its volume is bounded below by the sum of the appropriately defined hyperbolic volumes of the pieces. A variety of examples of appropriately hyperbolic pieces and volumes are provided, with many examples from link complements in the 3-sphere.
math.GT↗