7 citations · 11 across the 6 of their papers we have counts for
6 papers
Varieties of Lines in 3-Space
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
We consider configurations of lines in 3-space with incidences prescribed by a graph. This defines a subvariety in a product of Grassmannians. Leveraging a connection with rigidity…
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…