Abstract
We derive new obstructions to periodicity of classical knots by employing the Heegaard Floer correction terms of the finite cyclic branched covers of the knots. Applying our results to 2-fold covers, we demonstrate through numerous examples that our obstructions are successful where many existing periodicity obstructions fail. A combination of previously known periodicity obstructions and the results presented here leads to a nearly complete (with the exception of a single knot) classification of alternating, periodic, 12-crossing knots with odd prime periods. For the case of alternating knots with 13, 14 and 15 crossings, we give a complete list of all periodic knots with odd prime periods q > 3 .
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