33 citations · 97 across the 10 of their papers we have counts for
12 papers
Fibered simple knots
Joshua Evan Greene, John Luecke
We prove that a simple knot in the lens space fibers if and only if its order in homology does not divide any remainder occurring in the Euclidean algorithm applied to the…
Asymmetric L-space knots
Kenneth L. Baker, John Luecke
We construct the first examples of asymmetric L-space knots in . More specifically, we exhibit a construction of hyperbolic knots in with both (i) a surgery that may be…
Boundary-reducing surgeries and bridge number
Kenneth L. Baker, R. Sean Bowman, John Luecke
Let be a --dimensional handlebody of genus . This paper gives examples of hyperbolic knots in with arbitrarily large genus bridge number which admit Dehn surgerie…
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 …
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…
Bridge number and integral Dehn surgery
Ken Baker, Cameron Gordon, John Luecke
In a 3-manifold M, let K be a knot and R be an annulus which meets K transversely. We define the notion of the pair (R,K) being caught by a surface Q in the exterior of the link gi…