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math.GT2023
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…
math.GT2021★ 2 cited
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…
math.GT2020★ 1 cited
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…