2025/06/24 by Z. Fu, Fu, Zenan
Physics and Astronomy · #13A50 #13F60 (Primary) 05E99 #14M15 #15A72 #15A75 (Secondary) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2506.20038
openalex publication_date 2025/06/24 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/28
Generalizing the results by Fomin-Pylyavskyy and Carde, we construct a family of natural cluster structures in the coordinate ring of a mixed Grassmannian, the configuration space of tuples of several vectors and covectors in a finite-dimensional complex vector space. We describe and explore these cluster structures using the machinery of weaves introduced by Casals and Zaslow.