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CYCLIC BRANCHED COVERS OF ALTERNATING KNOTS AND L-SPACES

Masakazu Teragaito
대한수학회 (The Korean Mathematical Society)|2015.07|대한수학회보 (Bulletin of the KMS)|제52권 제4호|pp. 1139-1148

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참고문헌

키워드

L-spacebranched coveralternating knotpretzel knot
주제분류수학

초록

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.

Abstract

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.

참고문헌 (18)

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