22 citations · 100 across the 28 of their papers we have counts for
4 papers · 1 filter
Bridge trisections and classical knotted surface theory
Jason Joseph, Jeffrey Meier, Maggie Miller +1
We seek to connect ideas in the theory of bridge trisections with other well-studied facets of classical knotted surface theory. First, we show how the normal Euler number can be c…
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…
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-…
Brunnian exotic surface links in the 4-ball
Kyle Hayden, Alexandra Kjuchukova, Siddhi Krishna +3
This paper investigates the exotic phenomena exhibited by links of disconnected surfaces with boundary that are properly embedded in the 4-ball. Our main results provide two differ…