18 citations · 29 across the 6 of their papers we have counts for
7 papers
Grassmannian tree webs and cluster variables
Jian-Rong Li, Chenglu Wang, Lauren Williams
Homogeneous coordinate rings of Grassmannians are among the most fundamental instances of cluster algebras arising in ``nature.'' Despite their importance, however, the cluster var…
Plabic Tangles and Cluster Promotion Maps
Chaim Even-Zohar, Matteo Parisi, Melissa Sherman-Bennett +2
Inspired by the BCFW recurrence for tilings of the amplituhedron, we introduce the general framework of `plabic tangles' that utilizes plabic graphs to define rational maps between…
BCFW tilings and cluster adjacency for the amplituhedron
Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3
In 2005, Britto, Cachazo, Feng and Witten gave a recurrence (now known as the BCFW recurrence) for computing scattering amplitudes in N=4 super Yang Mills theory. Arkani-Hamed and…
The Magic Number Conjecture for the amplituhedron and Parke-Taylor identities
Matteo Parisi, Melissa Sherman-Bennett, Ran Tessler +1
The amplituhedron is a geometric object introduced in the context of scattering amplitudes in super Yang Mills. It generalizes the positive Grassmannian (when $n=…
A cluster of results on amplituhedron tiles
Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3
The amplituhedron is a mathematical object which was introduced to provide a geometric origin of scattering amplitudes in super Yang Mills theory. It generalizes \e…
Cluster algebras and tilings for the m=4 amplituhedron
Chaim Even-Zohar, Tsviqa Lakrec, Matteo Parisi +3
The amplituhedron is the image of the positive Grassmannian under the map induced by a positive linear ma…
Cluster structures in Schubert varieties in the Grassmannian
K. Serhiyenko, M. Sherman-Bennett, L. Williams
In this article we explain how the coordinate ring of each (open) Schubert variety in the Grassmannian can be identified with a cluster algebra, whose combinatorial structure is en…