21 citations · 153 across the 45 of their papers we have counts for
59 papers
The unknotting number of 11n102 is 2
Tye Lidman
We prove that the unknotting number of the knot 11n102 is 2.
A homological generalized Property R conjecture is false
Tye Lidman, Trevor Oliveira-Smith, Alexander Zupan
The generalized Property R conjecture (GPRC) predicts that if framed surgery on an -component link in produces , then is handleslide equiva…
Distinguishing exotic 's with Heegaard Floer homology
Sean Eli, Jennifer Hom, Tye Lidman
Attaching a Casson handle to a slice disk complement yields a smooth 4-manifold that is homeomorphic to . We show that if two slice knots have sufficiently different…
Homology cobordism for some Sol manifolds
Tye Lidman, Juanita Pinzón-Caicedo
We show that two 3-manifolds that admit Sol geometry and have first homology group of order 16 are integer homology cobordant if and only if they are homeomorphic.
The knot complement problem for null-homotopic knots
Aliakbar Daemi, Tye Lidman
We prove that for three-manifolds satisfying a certain algebraic condition on their fundamental group, null-homotopic knots are determined by their complements. This answers a Kirb…
Not all knots are smoothly round handle slice
Tye Lidman, Allison N. Miller, Arunima Ray
Freedman and Krushkal showed that if the surgery conjecture and the -cobordism conjecture hold for all topological 4-manifolds, then every link with pairwise zero linking number…