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Creators/Authors contains: "Li, Zhenhun"

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  1. (, ArXiv.org)
    In this paper we construct possible candidates for the minus version of monopole or instanton knot Floer homology. We use a direct system which was introduced by Etnyre, Vela-Vick and Zarev. If K is a knot then we can construct a direct system based on a sequence of sutures on the boundary of the knot complement and the direct limit is of our interests. We prove that a Seifert surface of the knot will induce an Alexander grading and there is a U map on the direct limit shifting the degree down by 1. We prove some basic properties and compute the case of unknots. We also use the techniques developed in this paper to compute the sutured monopole and instanton Floer homology of a solid torus with any valid sutures. 
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