Dan Cristian Pădureț on Unsplash
Abstract:
Generalizing the results by Fomin and Pylyavskyy, we construct a family of natural cluster structures on the coordinate ring of a mixed Grassmannian, the configuration space 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.
Generalizing the results by Fomin and Pylyavskyy, we construct a family of natural cluster structures on the coordinate ring of a mixed Grassmannian, the configuration space 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.
Dan Cristian Pădureț on Unsplash
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