Alison Tatsuoka

collaborators

3 papers

math.GT2026

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…

math.GT2026

Brunnian links of 3-balls in the 4-sphere

Seungwon Kim, Gheehyun Nahm, Alison Tatsuoka

For each integer $n \geq 2$ , we construct infinitely many $n$ -component Brunnian links of 3-balls in $S^{4}$ . Our main tool is the third author's result on the existence of splitting s…

math.GT2025

Splitting spheres for unlinked $S^{2}$ 's in $S^{4}$

Alison Tatsuoka

We show that there exist infinitely many pairwise non-isotopic splitting spheres for two unlinked, unknotted $S^{2}$ 's in $S^{4}$ . This answers a question posed by Hughes, Kim, and Mil…

Knotting and linking in 4 and 5 dimensions from barbell diffeomorphisms

Brunnian links of 3-balls in the 4-sphere

Splitting spheres for unlinked S2's in S4

Splitting spheres for unlinked $S^{2}$ 's in $S^{4}$