A-Polynomials of fillings of the Whitehead sister
Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell, and Em K., Thompson
TL;DR
This paper derives formulas for computing A-polynomials of knots obtained by Dehn filling the Whitehead sister link, including small volume twisted torus knots, and extends these methods to more general fillings.
Contribution
It introduces new formulas for A-polynomials of Whitehead sister link fillings, advancing understanding of their algebraic and geometric properties.
Findings
Formulas for A-polynomials of specific Dehn fillings
Application to small volume twisted torus knots
Extension to more general fillings
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · Connective tissue disorders research