6 papers · 1 filter
Knotting and linking in 4 and 5 dimensions from barbell diffeomorphisms
Seungwon Kim, Gheehyun Nahm, Alison Tatsuoka
In this paper, we construct infinitely many non-isotopic 3-knots in the 5-sphere, each of which has four critical points with respect to the standard height function of the 5-spher…
Brunnian links of 3-balls in the 4-sphere
Seungwon Kim, Gheehyun Nahm, Alison Tatsuoka
For each integer , we construct infinitely many -component Brunnian links of 3-balls in . Our main tool is the third author's result on the existence of splitting s…
Rational surgery exact triangles in Heegaard Floer homology
Gheehyun Nahm
We construct a new family of surgery exact triangles in Heegaard Floer theory over the field with two elements. This family generalizes both Ozsváth and Szabó's - and -surg…
Khovanov homology can distinguish exotic Mazur manifolds
Gheehyun Nahm
In a recent breakthrough, Ren and Willis gave the first analysis-free proof of the existence of exotic compact, orientable 4-manifolds; their main tool is the Khovanov skein lasagn…
Spectral sequences in unoriented link Floer homology
Gheehyun Nahm
In a previous work, we defined an unoriented skein exact triangle in unoriented link Floer homology. In this paper, we iterate a modified version of this exact triangle and obtain…
An unoriented skein exact triangle in unoriented link Floer homology
Gheehyun Nahm
We define band maps in unoriented link Floer homology and show that they form an unoriented skein exact triangle. These band maps are similar to the band maps in equivariant Khovan…