Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Caudell, Jacob"'
Autor:
Caudell, Jacob
Thesis advisor: Joshua E. Greene
We develop and implement obstructions to realizing a 3-manifold all of whose prime summands are lens spaces as Dehn surgery on a knot K in the Poincaré homology sphere, and in the process, we determine the knot
We develop and implement obstructions to realizing a 3-manifold all of whose prime summands are lens spaces as Dehn surgery on a knot K in the Poincaré homology sphere, and in the process, we determine the knot
Externí odkaz:
http://hdl.handle.net/2345/bc-ir:109706
Autor:
Caudell, Jacob
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 Poincar\'e homology sphere. As the motivating application, we determine w
Externí odkaz:
http://arxiv.org/abs/2308.15569
Autor:
Caudell, Jacob
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 $Y^*$ with surgery dual knot $K^*$, we show that the subgroups generated by $[K
Externí odkaz:
http://arxiv.org/abs/2112.10980
Autor:
Caudell, Jacob
A regular fiber of the Seifert fibering of the Poincar\'e 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 Poincar\'e homology sphere with a surgery to a connected sum of more than two lens
Externí odkaz:
http://arxiv.org/abs/2101.01256
Autor:
Caudell, Jacob
We give an alternative proof of a recent theorem of Tange using the technology of changemaker lattices. Specifically, for $K\subset S^3$ a non-trivial knot with a lens space surgery, we give constraints on the Alexander polynomial of $K$ and the lens
Externí odkaz:
http://arxiv.org/abs/2007.11039