Hideo Takioka
Abstract
We recall a skein relation of the first coefficient Kauffman polynomial for knots. By using the skein relation, we show that there exist infinitely many knots whose Whitehead doubles have the trivial first coefficient Kauffman polynomial.
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We recall a skein relation of the first coefficient Kauffman polynomial for knots. By using the skein relation, we show that there exist infinitely many knots whose Whitehead doubles have the trivial first coefficient Kauffman polynomial.
Key concepts: Skein, Mathematics, Jones polynomial, Bracket polynomial, Skein relation, Polynomial, HOMFLY polynomial, Alexander polynomial