Zenan Fu
Published 2025-06-24Version 1
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.
Comments: 113 pages, 54 figures
Tensor diagrams and cluster algebras
$P$-associahedra
The configuration space of a robotic arm over a graph
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