Abstract
This paper continues a program due to Motegi regarding universal bounds for the number of nonisotopic essential n-punctured tori in the complement of a hyperbolic knot in S3. For n=1, Valdez-Sánchez showed that there are at most five nonisotopic Seifert tori in the exterior of a hyperbolic knot. In this paper, we address the case n=2. We show that there are at most six nonisotopic, nested, essential 2-holed tori in the complement of every hyperbolic knot.
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