منابع مشابه
Knot Floer homology in cyclic branched covers
In this paper, we introduce a sequence of invariants of a knot K in S3 : the knot Floer homology groups ĤFK(Σm(K); K̃, i) of the preimage of K in the m–fold cyclic branched cover over K . We exhibit ĤFK(Σm(K); K̃, i) as the categorification of a well-defined multiple of the Turaev torsion of Σm(K)− K̃ in the case where Σm(K) is a rational homology sphere. In addition, when K is a two-bridge knot, ...
متن کاملCombinatorial Description of Knot Floer Homology of Cyclic Branched Covers
In this paper, we introduce a simple combinatorial method for computing all versions (∧,+,−,∞) of the knot Floer homology of the preimage of a two-bridge knot Kp,q inside its double-branched cover, −L(p, q). The 4-pointed genus 1 Heegaard diagram we obtain looks like a twisted version of the toroidal grid diagrams recently introduced by Manolescu, Ozsváth, and Sarkar. We conclude with a discuss...
متن کاملComputing Knot Floer Homology in Cyclic Branched Covers
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 Σm(K), and we give computations when m = 2 for over fifty three-bridge knots with up to eleven crossings.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1986
ISSN: 0022-4049
DOI: 10.1016/0022-4049(86)90027-7