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|Abstract:||We show that the knot lattice homology of a knot in an L-space is chain homotopy equivalent to the knot Floer homology of the same knot (viewed these invariants as filtered chain complexes over the polynomial ring Z/2Z[U]). Suppose that G is a negative definite plumbing tree which contains a vertex w such that G - w is a union of rational graphs. Using the identification of knot homologies we show that for such graphs the lattice homology HF-(G) is isomorphic to the Heegaard Floer homology HF-(Y-G) of the corresponding rational homology sphere Y-G.|
|Citation:||Ozsvath, Peter, Stipsicz, Andras I., Szabo, Zoltan. (2016). Knot lattice homology in L-spaces. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25, doi:10.1142/S0218216516500036|
|Pages:||1 - 27|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS|
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