5 citations · 10 across the 5 of their papers we have counts for
6 papers
Cluster deep loci and mirror symmetry
Marco Castronovo, Mikhail Gorsky, José Simental +1
Affine cluster varieties are covered up to codimension 2 by open algebraic tori. We put forth a general conjecture (based on earlier conversation between Vivek Shende and the last…
Curved Fukaya algebras and the Dubrovin spectrum
Marco Castronovo
Under simplified axioms on moduli spaces of pseudo-holomorphic curves, we show that weakly unobstructed Fukaya algebras of Floer-nontrivial Lagrangians in a compact symplectic mani…
Lagrangian cobordism of positroid links
Johan Asplund, Youngjin Bae, Orsola Capovilla-Searle +3
Casals-Gorsky-Gorsky-Simental realized all positroid strata of the complex Grassmannian as augmentation varieties of Legendrians called positroid links. We prove that the partial o…
Liouville domains from Okounkov bodies
Marco Castronovo
Given a strictly concave rational PL function on a complete -dimensional fan , we construct an exact symplectic structure of finite volume on and…
Exotic Lagrangian tori in Grassmannians
Marco Castronovo
We describe an iterative construction of Lagrangian tori in the complex Grassmannian , based on the cluster algebra structure of the coordinate ring of a mi…
Fukaya category of Grassmannians: rectangles
Marco Castronovo
We show that the monotone Lagrangian torus fiber of the Gelfand-Cetlin integrable system on the complex Grassmannian supports generators for all maximum mo…