The signature and cusp geometry of hyperbolic knots

We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphere, which is defined in terms of its cusp geometry. We show that twice the knot signature and the natural slope differ by at most a constant times the hyperbolic volume divided by the cube of the inje...

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Bibliographic Details
Main Authors: Davies, A, Juhasz, A, Lackenby, M, Tomasev, N
Format: Journal article
Language:English
Published: Mathematical Sciences Publishers 2024