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arxiv: 1905.09873 · v1 · pith:6XKMQ5KVnew · submitted 2019-05-23 · 🧮 math.GT

Computing Genera of Satellite Tunnel Number One Knots and Torti-rational Knots

classification 🧮 math.GT
keywords knotsgenusnumbersatellitetorti-rationaltunnelalgorithmcompute
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The genus of satellite tunnel number one knots and torti-rational knots is computed using the tools introduced by Floyd and Hatcher. An implementation of an algorithm is given to compute genus and slopes of minimal genus Seifert surfaces for such knots.

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