Cyclic branched covers of alternating knots and L-spaces
classification
🧮 math.GT
keywords
branchedalternatingknotcovercyclicspacecoversdouble
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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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