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Creators/Authors contains: "Cheng, Zhechi"

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  1. ; ; (, Quantum Topology)
    The aim of this paper is to study the behavior of knot Floer homology under Murasugi sum. We establish a graded version of Ni’s isomorphism between the extremal knot Floer homology of Murasugi sum of two links and the tensor product of the extremal knot Floer homology groups of the two summands. We further prove that\tau=gfor each summand if and only if\tau=gholds for the Murasugi sum (with\tauandgdefined appropriately for multi-component links). Some applications are presented. 
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