7 papers
Perverse filtration on Hilbert schemes via upward flow
Filip ŽivanoviÄ
We explicitly compute the perverse Leray filtration on the top cohomology of the Hilbert scheme of points on , for any connected smooth projective curve . T…
Equivariant multiplicities and mirror symmetry for Hilbert schemes
Alexandre Minets, Filip ŽivanoviÄ
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…
Filtrations on quantum cohomology via Morse-Bott-Floer Spectral Sequences
Alexander F. Ritter, Filip ŽivanoviÄ
Using Morse-Bott-Floer spectral sequences, we describe a filtration by ideals on quantum cohomology for symplectic manifolds with a Hamiltonian -action that extends to a pseud…
Filtrations on quantum cohomology from the Floer theory of -actions
Alexander F. Ritter, Filip ŽivanoviÄ
We construct a filtration by ideals on quantum cohomology for symplectic manifolds with a Hamiltonian -action that extends to a pseudoholomorphic -action. These…
Floer-theoretic filtration on Painlevé Hitchin systems
Szilárd Szabó, Filip ŽivanoviÄ
We classify equivariant -actions on moduli spaces of Higgs bundles corresponding to the Painlevé equations. Using this, we compute the Floer-theoretic filtrations on…
Quantum cohomology and Floer invariants of semiprojective toric manifolds
Alexander F. Ritter, Filip ŽivanoviÄ
We use Floer theory to describe invariants of symplectic -manifolds admitting several commuting -actions. The -actions induce filtrations…