9 citations · 11 across the 2 of their papers we have counts for
3 papers
math.GT2022
Seifert surfaces in the 4-ball
Kyle Hayden, Seungwon Kim, Maggie Miller +2
We answer a question of Livingston from 1982 by producing Seifert surfaces of the same genus for a knot in that do not become isotopic when their interiors are pushed into $B…
math.GT2021★ 2 cited
Khovanov homology and exotic surfaces in the 4-ball
Kyle Hayden, Isaac Sundberg
We show that the cobordism maps on Khovanov homology can distinguish smooth surfaces in the 4-ball that are exotically knotted (i.e., isotopic through ambient homeomorphisms but no…
math.GT2021★ 9 cited
Relative Khovanov-Jacobsson classes
Isaac Sundberg, Jonah Swann
To a smooth, compact, oriented, properly-embedded surface in the -ball, we define an invariant of its boundary-preserving isotopy class from the Khovanov homology of its boundar…