4 citations · 9 across the 6 of their papers we have counts for
8 papers
Kleshchev multipartitions, affine Mirković-Vilonen polytopes, and representations of KLR algebras in type
Samantha Allen, Jack Isaac, Corinne Moscariello +3
We construct explicit isomorphisms between three models for the crystal in type : affine Mirković--Vilonen polytopes, Kleshchev multipartitions, and a…
Unknotting via null-homologous twists and multi-twists
Samantha Allen, Kenan Ince, Seungwon Kim +2
The untwisting number of a knot K is the minimum number of null-homologous twists required to convert K to the unknot. Such a twist can be viewed as a generalization of a crossing…
An Upsilon torsion function for knot Floer homology
Samantha Allen, Charles Livingston
Heegaard Floer theory produces chain complexes associated to knots. Viewed as modules over polynomial rings, such complexes yield torsion invariants that offer constraints on cobor…
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…
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…
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…
Concordances from differences of torus knots to -space knots
Samantha Allen
It is known that connected sums of positive torus knots are not concordant to -space knots. Here we consider differences of torus knots. The main result states that the subgroup…
Using secondary Upsilon invariants to rule out stable equivalence of knot complexes
Samantha Allen
Two Heegaard Floer knot complexes are called stably equivalent if an acyclic complex can be added to each complex to make them filtered chain homotopy equivalent. Hom showed that i…