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math.GT2025
Knots that share four surgeries
Marc Kegel, Lisa Piccirillo
Distinct knots K, K' can sometimes share a common p/q-framed Dehn surgery. A folk conjecture held that for a fixed pair of knots, this can occur for at most one value of p/q. We di…
math.GT2024
Bounding the Dehn surgery number by 10/8
Beibei Liu, Lisa Piccirillo
We provide new examples of 3-manifolds with weight one fundamental group and the same integral homology as the lens space which are not surgery on any knot in the three-s…