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arxiv: 1410.3975 · v1 · pith:6CWFJSJQnew · submitted 2014-10-15 · 🧮 math.GT

Hyperbolic, L-space knots and exceptional Dehn surgeries

classification 🧮 math.GT
keywords knotsknotl--spacesurgeriesdehnexceptionalfiberedhyperbolic
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A knot in the 3-sphere is called an L--space knot if it admits a nontrivial Dehn surgery yielding an L--space. Like torus knots and Berge knots, many L--space knots admit also a Seifert fibered surgery. We give a concrete example of a hyperbolic, L-space knot which has no exceptional surgeries, in particular, no Seifert fibered surgeries.

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