3 papers
math.AG2024
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…
math.SG2024
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…
math.SG2022
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…