7 citations · 15 across the 11 of their papers we have counts for
4 papers · 1 filter
The positive orthogonal Grassmannian
Yassine El Maazouz, Yelena Mandelshtam
The Plücker positive region of the orthogonal Grassmannian emerged as the positive geometry behind the ABJM scattering amplitudes. In this paper we initiate…
Combinatorics of Grasstopes
Yelena Mandelshtam, Dmitrii Pavlov, Elizabeth Pratt
A Grasstope is the image of the totally nonnegative Grassmannian under a linear map . This is a generaliza…
On Graphs Representable by Pattern-Avoiding Words
Yelena Mandelshtam
In this paper we study graphs defined by pattern-avoiding words. Word-representable graphs have been studied extensively following their introduction in 2000 and are the subject of…
Arrangements Of Minors In The Positive Grassmannian And a Triangulation of The Hypersimplex
Miriam Farber, Yelena Mandelshtam
The structure of zero and nonzero minors in the Grassmannian leads to rich combinatorics of matroids. In this paper, we investigate an even richer structure of possible equalities…