Steven N. Karp

activity

20152026

most citedSign variation, the Grassmannian, and total positivity

34 citations · 194 across the 17 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021★ 1 cited

Wronskians, total positivity, and real Schubert calculus

Steven N. Karp

A complete flag in $R^{n}$ is a sequence of nested subspaces $V_{1} \subset \dots \subset V_{n - 1}$ such that each $V_{k}$ has dimension $k$ . It is called totally nonnegative if…

math.CO2021★ 5 cited

Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties

Anthony M. Bloch, Steven N. Karp

One can view a partial flag variety in $C^{n}$ as an adjoint orbit $O_{λ}$ inside the Lie algebra of $n \times n$ skew-Hermitian matrices. We use the orbit context t…

math.CO2021★ 2 cited

Shelling the m=1 amplituhedron

Steven N. Karp, John Machacek

The amplituhedron $A_{n, k, m}$ was introduced by Arkani-Hamed and Trnka (2014) in order to give a geometric basis for calculating scattering amplitudes in planar $\mathcal…