Computing knot Floer homology in cyclic branched covers

@article{Levine2008ComputingKF,
  title={Computing knot Floer homology in cyclic branched covers},
  author={Adam Simon Levine},
  journal={Algebraic \& Geometric Topology},
  year={2008},
  volume={8},
  pages={1163-1190}
}
We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K in its m-fold cyclic branched cover Sigma^m(K), and we give computations when m=2 for over fifty three-bridge knots with up to eleven crossings. 

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