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arXiv · 2506.20038

Cluster structures in mixed Grassmanianns

Zenan Fu
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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.

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Zenan Fu. 2025-06-24. Cluster structures in mixed Grassmanianns. https://arxiv.org/abs/2506.20038

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