Abstract
Knot Floer homology is an invariant for knots in the three-sphere for which the Euler characteristic is the AlexanderConway polynomial of the knot. The aim of this paper is to study this homology for a class of satellite knots, so as to see how a certain relation between the AlexanderConway polynomials of the satellite, companion and pattern is generalized on the level of the knot Floer homology. We also use our observations to study a classical geometric invariant, the Seifert genus, of our satellite knots.
| Original language | English |
|---|---|
| Article number | 1250030 |
| Journal | Journal of Knot Theory and its Ramifications |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2012 Apr 1 |
Keywords
- Knot Floer homology
- Seifert genus
- satellite knot
ASJC Scopus subject areas
- Algebra and Number Theory
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Cite this
Bao, Y. (2012). On the knot floer homology of a class of satellite knots. Journal of Knot Theory and its Ramifications, 21(4), [1250030]. https://doi.org/10.1142/S0218216511009807