3 papers
math.GT2019
Heegaard Floer homology and splicing homology spheres
Cagri Karakurt, Tye Lidman, Eamonn Tweedy
We prove a basic inequality for the d-invariants of a splice of knots in homology spheres. As a result, we are able to prove a new relation on the rank of reduced Floer homology un…
math.GT2017
Co-rank of weakly parafree -manifold groups
Shelly Harvey, Eamonn Tweedy
Recall that a group is called large if it has a finite index subgroup which surjects onto a non-abelian free group. By work of Agol and Cooper-Long-Reid, most 3-manifold groups are…
math.GT2017
A note on concordance properties of fibers in Seifert homology spheres
Tye Lidman, Eamonn Tweedy
In this note, we collect various properties of Seifert homology spheres from the viewpoint of Dehn surgery along a Seifert fiber. We expect that many of these are known to various…