ALEXANDER POLYNOMIALS OF ALTERNATING KNOTS OF GENUS TWO II

作者：Jong In Dae^*

来源：Journal of Knot Theory and Its Ramifications, 2010, 19(8): 1075-1092.

DOI：10.1142/S0218216510008285

• Alternating knot
• Alexander polynomial
• generators of knots of genus two
• homogeneous knot
• positive knot

We give a family of linear inequalities which strictly estimate relation among the coefficients of the Alexander polynomials of alternating knots of genus two. We also give such families for positive knots of genus two, and for homogeneous knots of genus two. As an application, we determine the alternating knots of genus two such that the leading coefficients of them are less than or equal to three.

• 出版日期2010-8