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math.GT2014
Determining isotopy classes of crossing arcs in alternating links
Anastasiia Tsvietkova
Given a reduced alternating diagram for a link, we obtain conditions that guarantee that the link complement has a complete hyperbolic structure, crossing arcs are the edges of an…
math.GT2014
Intercusp geodesics and the invariant trace field of hyperbolic 3-manifolds
Walter Neumann, Anastasiia Tsvietkova
Given a cusped hyperbolic 3-manifold with finite volume, we define two types of complex parameters which capture geometric information about the preimages of geodesic arcs travelin…