Surgeries, sharp 4-manifolds and the Alexander polynomial

Work of Ni and Zhang has shown that for the torus knot \(T_{r,s}\) with \(r>s>1\) every surgery slope \(p/q \geq \frac{30}{67}(r^2-1)(s^2-1)\) is a characterizing slope. In this paper, we show that this can be lowered to a bound which is linear in \(rs\), namely, \(p/q\geq \frac{43}{4}(rs-r-s)...

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Veröffentlicht in:	arXiv.org 2020-08
1. Verfasser:	McCoy, Duncan
Format:	Artikel
Sprache:	eng
Schlagworte:	Homology Knots Manifolds Mathematics - Geometric Topology Polynomials Surgery Toruses
Online-Zugang:	Volltext
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