M. Sherman-Bennett

activity

20172026

most citedCluster structures in Schubert varieties in the Grassmannian

18 citations · 50 across the 23 of their papers we have counts for

collaborators

Showing 2021Show all

2 papers · 1 filter

math.CO2021

$k$ -positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants

Sunita Chepuri, Melissa Sherman-Bennett

In this note, we show that certain dual canonical basis elements of $C [S L_{m}]$ are positive when evaluated on $k$ -positive matrices, matrices whose minors of size $k \times…

math.CO2021★ 9 cited

The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers

Matteo Parisi, Melissa Sherman-Bennett, Lauren Williams

The hypersimplex $Δ_{k + 1, n}$ is the image of the positive Grassmannian $G r_{k + 1, n}^{\geq 0}$ under the moment map. It is a polytope of dimension $n - 1$ in $R^{n}$ . Meanwhile,…

k-positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants

The m=2 amplituhedron and the hypersimplex: signs, clusters, triangulations, Eulerian numbers

$k$ -positivity of dual canonical basis elements from 1324- and 2143-avoiding Kazhdan-Lusztig immanants