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math.AG2026
Perverse filtration on Hilbert schemes via upward flow
Filip Živanović
We explicitly compute the perverse Leray filtration on the top cohomology of the Hilbert scheme of points on , for any connected smooth projective curve . The…
math.AG2026
Equivariant multiplicities and mirror symmetry for Hilbert schemes
Alexandre Minets, Filip Živanović
Following Hausel-Hitchin, we investigate core Lagrangians and upward flows in Hilbert schemes of points on elliptic surfaces. We compute the scheme-theoretic multiplicities of core…
math.AG2024
Floer-theoretic filtration on Painlevé Hitchin systems
Szilárd Szabó, Filip Živanović
We classify equivariant -actions on moduli spaces of Higgs bundles corresponding to the Painlevé equations. Using this, we compute the Floer-theoretic filtrations on…