2 citations · 3 across the 4 of their papers we have counts for
4 papers
On lens space surgeries from the Poincaré homology sphere
Jacob Caudell
Building on Greene's changemaker lattices, we develop a lattice embedding obstruction to realizing an L-space bounding a definite 4-manifold as integer surgery on a knot in the Poi…
Alternating knots do not admit cosmetic crossings
Jacob Caudell
By examining the homology groups of a 4-manifold associated to an integral surgery on a knot in a rational homology 3-sphere yielding a rational homology 3-sphere wit…
Three lens space summands from the Poincaré homology sphere
Jacob Caudell
A regular fiber of the Seifert fibering of the Poincaré homology sphere admits a Dehn surgery to . We prove that this is the only knot in the Poincaré homol…
A note on changemaker lattices and Alexander polynomials of lens space knots
Jacob Caudell
We give an alternative proof of a recent theorem of Tange using the technology of changemaker lattices. Specifically, for a non-trivial knot with a lens space surger…