4 papers
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…
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…
Filtrations on equivariant quantum cohomology and Hilbert-Poincaré series
Alexander F. Ritter, Filip ŽivanoviÄ
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…