Publications Influence

Share This Author

Graph manifolds, left-orderability and amalgamation

- A. Clay, Tye Lidman, Liam Watson
- Mathematics
- 2 June 2011

We show that every irreducible toroidal integer homology sphere graph manifold has a left-orderable fundamental group. This is established by way of a specialization of a result due to Bludov and… Expand

Pretzel knots with L-space surgeries

- Tye Lidman, Allison H. Moore
- Mathematics
- 28 June 2013

A rational homology sphere whose Heegaard Floer homology is the same as that of a lens space is called an L-space. We classify pretzel knots with any number of tangles which admit L-space surgeries.… Expand

Rank inequalities for the Heegaard Floer homology of Seifert homology spheres

- Cagri Karakurt, Tye Lidman
- Mathematics
- 2 October 2013

We establish three rank inequalities for the reduced flavor of Heegaard Floer homology of Seifert fibered integral homology spheres. Combining these inequalities with the known classifications of… Expand

Cosmetic surgery in L-spaces and nugatory crossings

- Tye Lidman, Allison H. Moore
- Mathematics
- 2 July 2015

The cosmetic crossing conjecture (also known as the “nugatory crossing conjecture”) asserts that the only crossing changes that preserve the oriented isotopy class of a knot in the 3-sphere are… Expand

Knot concordance in homology cobordisms

- Jennifer Hom, Adam Simon Levine, Tye Lidman
- Mathematics
- 23 January 2018

Let $\widehat{\mathcal{C}}_{\mathbb{Z}}$ denote the group of knots in homology spheres that bound homology balls, modulo smooth concordance in homology cobordisms. Answering a question of Matsumoto,… Expand

APPLICATIONS OF INVOLUTIVE HEEGAARD FLOER HOMOLOGY

- Kristen Hendricks, Jennifer Hom, Tye Lidman
- MathematicsJournal of the Institute of Mathematics of…
- 6 February 2018

Abstract We use Heegaard Floer homology to define an invariant of homology cobordism. This invariant is isomorphic to a summand of the reduced Heegaard Floer homology of a rational homology sphere… Expand

The equivalence of two Seiberg-Witten Floer homologies

- Tye Lidman, Ciprian Manolescu
- Mathematics
- 2 March 2016

We show that monopole Floer homology (as defined by Kronheimer and Mrowka) is isomorphic to the S^1-equivariant homology of the Seiberg-Witten Floer spectrum constructed by the second author.

Ribbon homology cobordisms

- A. Daemi, Tye Lidman, David Shea Vela-Vick, C. M. M. Wong
- MathematicsAdvances in Mathematics
- 22 April 2019

Framed instanton homology of surgeries on L-space knots

- Tye Lidman, Juanita Pinzón-Caicedo, Christopher Scaduto
- MathematicsIndiana University Mathematics Journal
- 6 March 2020

An important class of three-manifolds are L-spaces, which are rational homology spheres with the smallest possible Floer homology. For knots with an instanton L-space surgery, we compute the framed… Expand

Taut Foliations, Left-Orderability, and Cyclic Branched Covers

- C. Gordon, Tye Lidman
- Mathematics
- 25 June 2014

We study the question of when cyclic branched covers of knots admit taut foliations, have left-orderable fundamental groups, and are not L-spaces.

...

1

2

3

4

5

...