TY - JOUR
T1 - On the knot floer homology of a class of satellite knots
AU - Bao, Yuanyuan
N1 - Funding Information:
written, the author was supported by scholarship from the Ministry of Education, Culture, Sports, Science and Technology of Japan.
PY - 2012/4
Y1 - 2012/4
N2 - 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.
AB - 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.
KW - Knot Floer homology
KW - Seifert genus
KW - satellite knot
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U2 - 10.1142/S0218216511009807
DO - 10.1142/S0218216511009807
M3 - Article
AN - SCOPUS:84857579410
VL - 21
JO - Journal of Knot Theory and its Ramifications
JF - Journal of Knot Theory and its Ramifications
SN - 0218-2165
IS - 4
M1 - 1250030
ER -