3 papers
math.AG2025
Tropical KP Theory on Banana Curves
Simonetta Abenda, Türkü Ãzlüm Ãelik, Claudia Fevola +1
The Kadomtsev-Petviashvili (KP) equation is the cornerstone of integrable systems, whose solutions reflect deep connections in algebraic geometry. Banana curves are reducible ratio…
math.CO2025
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…
math.CO2025
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…