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 Cyclic branched covers of alternating knots and $L$-spaces Bull. Korean Math. Soc. 2015 Vol. 52, No. 4, 1139-1148 https://doi.org/10.4134/BKMS.2015.52.4.1139Printed July 31, 2015 Masakazu Teragaito Hiroshima University Abstract : For any alternating knot, it is known that the double branch\-ed 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. Keywords : branched cover, alternating knot, pretzel knot, $L$-space MSC numbers : Primary 57M25 Downloads: Full-text PDF