Jacob Caudell

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20202023

most citedThree lens space summands from the Poincaré homology sphere

2 citations · 3 across the 4 of their papers we have counts for

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math.GT2021

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 $K$ in a rational homology 3-sphere $Y$ yielding a rational homology 3-sphere $Y^{*}$ wit…

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 $L (2, 1) # L (3, 2) # L (5, 4)$ . We prove that this is the only knot in the Poincaré homol…