4 citations · 9 across the 6 of their papers we have counts for
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math.GT2020★ 4 cited
Do Link Polynomials Detect Causality In Globally Hyperbolic Spacetimes?
Samantha Allen, Jacob H. Swenberg
Let be a -dimensional globally hyperbolic spacetime with a Cauchy surface whose universal cover is homeomorphic to . We provide empirical evidence sugg…
math.GT2020★ 1 cited
Nonorientable surfaces bounded by knots: a geography problem
Samantha Allen
The nonorientable 4-genus is an invariant of knots which has been studied by many authors, including Gilmer and Livingston, Batson, and Ozsváth, Stipsicz, and Szabó. Given a nonori…
math.GT2020
Unknotting with a single twist
Samantha Allen, Charles Livingston
Given a knot in the three-sphere, is it possible to unknot it by performing a single twist, and if so, what are the possible linking numbers of such a twist? We develop obstruction…