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For any alternating knot, it is known that the double branched cover of the 3-sphere branched over the knot is an L-space. We show that the three-fold cyclic branched cover is also an L-space for any genus one alternating knot.
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참고문헌 (18)
참고문헌 신청
A. Champanerkar / 2009 / Twisting quasi-alternating links / Proc. Amer. Math. Soc 137 (7) : 2451 ~ 2458
A. T. Tran / / On left-orderability and cyclic branched coverings / arXiv:1311.4262
C. McA. Gordon / 2014 / Taut foliations, left-orderability, and cyclic branched covers / Acta Math. Vietnam 39 (4) : 599 ~ 635
D. Gabai / 1986 / Genera of the arborescent links / Mem. Amer. Math. Soc 59 (339) : 1 ~ 98
G. Burde / 2003 / Knots / Walter de Gruyter & Co
A. T. Tran / / On left-orderability and cyclic branched coverings / arXiv:1311.4262
C. McA. Gordon / 2014 / Taut foliations, left-orderability, and cyclic branched covers / Acta Math. Vietnam 39 (4) : 599 ~ 635
D. Gabai / 1986 / Genera of the arborescent links / Mem. Amer. Math. Soc 59 (339) : 1 ~ 98
G. Burde / 2003 / Knots / Walter de Gruyter & Co
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