16 citations · 31 across the 9 of their papers we have counts for
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hep-th2021★ 7 cited
Learning knot invariants across dimensions
Jessica Craven, Mark Hughes, Vishnu Jejjala +1
We use deep neural networks to machine learn correlations between knot invariants in various dimensions. The three-dimensional invariant of interest is the Jones polynomial ,…
math.GT2021
Knotted handlebodies in the 4-sphere and 5-ball
Mark Hughes, Seungwon Kim, Maggie Miller
For every integer we construct 3-dimensional genus- 1-handlebodies smoothly embedded in with the same boundary, and which are defined by the same cut systems of t…
math.GT2021
Band diagrams of immersed surfaces in 4-manifolds
Mark Hughes, Seungwon Kim, Maggie Miller
We study immersed surfaces in smooth 4-manifolds via singular banded unlink diagrams. Such a diagram consists of a singular link with bands inside a Kirby diagram of the ambient 4-…