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

Masakazu Teragaito

Published 2014-04-28Version 1

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.