11 citations · 21 across the 5 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
Positive Links
Tim D. Cochran, Eamonn Tweedy
Given a link L in the 3-sphere, we ask whether the components of L bound disjoint, nullhomologous disks properly embedded in a simply-connected positive-definite smooth 4-manifold;…
Heegaard Floer homology and several families of Brieskorn spheres
Eamonn Tweedy
Ozsváth and Szabó gave a combinatorial description for the Heegaard Floer homology of boundaries of certain negative-definite plumbings. Némethi constructed a remarkable algorithm…
The anti-diagonal filtration: reduced theory and applications
Eamonn Tweedy
Given a knot K in S^3, Seidel and Smith described in arXiv:1002.2648v3 a graded cohomology group Kh_{symp,inv}(K), a variant of their symplectic Khovanov cohomology group. They als…
On the anti-diagonal filtration for the Heegaard Floer chain complex of a branched double-cover
Eamonn Tweedy
Seidel and Smith introduced the graded fixed-point symplectic Khovanov cohomology group Kh_{symp,inv}(K) for a knot K inside S^{3}, as well as a spectral sequence converging to the…