EQUIVALENCE OF TWO DIAGRAM REPRESENTATIONS OF LINKS IN LENS SPACES AND ESSENTIAL INVARIANTS

作者: A. Cattabriga , E. Manfredi , L. Rigolli

DOI: 10.1007/S10474-015-0475-Z

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摘要: We study the relation between two diagrammatic representations of links in lens spaces: disk diagram introduced [8] and grid [2, 9] we find how to shift from one other. also investigate whether HOMFLY-PT invariant Link Floer Homology are essential invariants, that is, try understand if these invariants able distinguish L(p, q) covered by same link S3. In order do so, generalize combinatorial definition Knot spaces developed 19] case analyze both change when switch orientation link.

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