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Cyclic branched covers of alternating knots and $L$-spaces

Published 28 Apr 2014 in math.GT | (1404.6892v1)

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.

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