Cluster structures in mixed Grassmanianns
Combinatorics
2025-06-26 v1 Commutative Algebra
Representation Theory
Abstract
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.
Cite
@article{arxiv.2506.20038,
title = {Cluster structures in mixed Grassmanianns},
author = {Zenan Fu},
journal= {arXiv preprint arXiv:2506.20038},
year = {2025}
}
Comments
113 pages, 54 figures