5 papers
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…
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…
Quantum cohomology and Floer invariants of semiprojective toric manifolds
Alexander F. Ritter, Filip Živanović
We use Floer theory to describe invariants of symplectic -manifolds admitting several commuting -actions. The -actions induce filtrations…
Filtrations on equivariant quantum cohomology and Hilbert-Poincaré series
Alexander F. Ritter, Filip Živanović
We prove that Floer theory induces a filtration by ideals on equivariant quantum cohomology of symplectic manifolds equipped with a -action. In particular, this gives…
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…