Tye Lidman

activity

20242026

collaborators

12 papers

math.GT2026

The unknotting number of 11n102 is 2

Tye Lidman

We prove that the unknotting number of the knot 11n102 is 2.

math.GT2026

Heegaard Floer homology and the word metric on the Torelli group

Santana Afton, Miriam Kuzbary, Tye Lidman

We study a relationship between the Heegaard Floer homology correction terms of integral homology spheres and the word metric on the Torelli group. For example, we give an elementa…

math.GT2026

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 $n$ -component link $L$ in $S^{3}$ produces $#^{n} (S^{1} \times S^{2})$ , then $L$ is handleslide equiva…

math.GT2026

Distinguishing exotic $R^{4}$ '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 $R^{4}$ . We show that if two slice knots have sufficiently different…

math.GT2025

Homology cobordism for some Sol manifolds

Tye Lidman, Juanita PinzÃ³n-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.

math.GT2025

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…

The unknotting number of 11n102 is 2

Heegaard Floer homology and the word metric on the Torelli group

A homological generalized Property R conjecture is false

Distinguishing exotic R4's with Heegaard Floer homology

Homology cobordism for some Sol manifolds

The knot complement problem for null-homotopic knots

Distinguishing exotic $R^{4}$ 's with Heegaard Floer homology