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Geometry of alternating links on surfaces. (arXiv:1712.01373v2 [math.GT] UPDATED)
来源于:arXiv
We consider links that are alternating on surfaces embedded in a compact
3-manifold. We show that under mild restrictions, the complement of the link
decomposes into simpler pieces, generalising the polyhedral decomposition of
alternating links of Menasco. We use this to prove various facts about the
hyperbolic geometry of generalisations of alternating links, including weakly
generalised alternating links described by the first author. We give
diagrammatical properties that determine when such links are hyperbolic, find
the geometry of their checkerboard surfaces, bound volume, and exclude
exceptional Dehn fillings. 查看全文>>