We describe an algorithm for computing boundary slopes of 2-bridge links. As an example, we work out the slopes of the links obtained by 1/k surgery on one component of the Borromean rings. A table of all boundary slopes of all 2-bridge links with 10 or less crossings is also included.
First published in Mathematics of Computation in 2007, published by the American Mathematical Society
Hoste, Jim and Shanahan, Patrick, "Computing Boundary Slopes of 2-Bridge Links" (2007). Mathematics Faculty Works. Paper 3.
Hoste, J., Shanahan, P. D. Computing Boundary Slopes of 2-Bridge Links, Mathematics of Computation. vol. 76 (2007) pp. 1521-1545.