ON THE KNOT FLOER HOMOLOGY OF A CLASS OF SATELLITE KNOTS
ON THE KNOT FLOER HOMOLOGY OF A CLASS OF SATELLITE KNOTS
复制标题
论一类卫星结的结层同源性
DOI：
10.1142/s0218216511009807
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发表时间：
2012
影响因子：
0.5
通讯作者：
Yuanynan Bao
中科院分区：
文献类型：
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作者：
Fujii;K.;Yoshioka;S.;Isaka;T.;Kouzaki;M;飯笹英一;Kengo Kurosaka;藤井慶輔・吉岡伸輔・伊坂忠夫・神崎素樹;藤井慶輔;Yuanynan Bao
纽结弗洛尔同调是三球面纽结的不变量，其欧拉特征是纽结的亚历山大-康威多项式。本文的目的是研究一类卫星纽结的这种同调性，从而了解卫星纽结的Alexander-Conway多项式、伴纽结的Alexander-Conway多项式和模式的Alexander-Conway多项式之间的某种关系是如何在纽结Floer同调性的水平上推广的.我们还使用我们的意见，研究一个经典的几何不变，塞弗特属，我们的卫星结。
Knot Floer homology is an invariant for knots in the three-sphere for which the Euler characteristic is the Alexander–Conway 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 Alexander–Conway 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.