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TIGHT FIBRED KNOTS WITHOUT L-SPACE SURGERIES
Glasgow Mathematical Journal ( IF 0.5 ) Pub Date : 2020-11-24 , DOI: 10.1017/s0017089520000543 FILIP MISEV , GILBERTO SPANO
Glasgow Mathematical Journal ( IF 0.5 ) Pub Date : 2020-11-24 , DOI: 10.1017/s0017089520000543 FILIP MISEV , GILBERTO SPANO
We show that there exist infinitely many knots of every fixed genus $g\geq 2$ which do not admit surgery to an L-space, despite resembling algebraic knots and L-space knots in general: they are algebraically concordant to the torus knot T (2, 2g + 1) of the same genus and they are fibred and strongly quasipositive.
中文翻译:
没有 L 空间手术的紧密纤维结
我们证明每个固定属都存在无限多个结$g\geq 2$ 不允许对 L 空间进行手术,尽管它们通常类似于代数结和 L 空间结:它们在代数上与环面结一致吨 (2, 2G + 1) 属于同一属,并且它们是纤维化的并且是强准阳性的。
更新日期:2020-11-24
中文翻译:
没有 L 空间手术的紧密纤维结
我们证明每个固定属都存在无限多个结