Knot lattice homology in L-spaces
Author(s): Ozsvath, Peter Steven; Stipsicz, Andras I.; Szabo, Zoltan
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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. |
Publication Date: | Jan-2016 |
Electronic Publication Date: | 15-Dec-2015 |
Citation: | Ozsvath, Peter, Stipsicz, Andras I, Szabo, Zoltan. (2016). Knot lattice homology in L-spaces. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25 (10.1142/S0218216516500036 |
DOI: | doi:10.1142/S0218216516500036 |
ISSN: | 0218-2165 |
EISSN: | 1793-6527 |
Type of Material: | Journal Article |
Journal/Proceeding Title: | JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS |
Version: | Author's manuscript |
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