A-Polynomials of fillings of the Whitehead sister

Abstract

Knots obtained by Dehn filling the Whitehead sister link include some of the smallest volume twisted torus knots. Here, using results on A-polynomials of Dehn fillings, we give formulas to compute the A-polynomials of these knots. Our methods also apply to more general Dehn fillings of the Whitehead sister.

18 pages, 11 figures. V2: Added more background on A-polynomials, including those of this paper. Additional minor wording changes and corrections