most citedInfinitely many knots admitting the same integer surgery and a 4-dimensional extension

2 citations · 3 across the 2 of their papers we have counts for

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2 papers

math.GT2014★ 2 cited

Infinitely many knots admitting the same integer surgery and a 4-dimensional extension

Tetsuya Abe, In Dae Jong, John Luecke +1

We prove that for any integer there exist infinitely many different knots in such that -surgery on those knots yields the same 3-manifold. In particular, when …

math.GT2014★ 1 cited

Infinitely many knots admitting the same integer surgery

John Luecke, John Osoinach

The construction of knots via annular twisting has been used to create families of knots yielding the same manifold via Dehn surgery. Prior examples have all involved Dehn surgery…