77 citations · 260 across the 12 of their papers we have counts for
12 papers
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…
Filtrations on quantum cohomology via Morse-Bott-Floer Spectral Sequences
Alexander F. Ritter, Filip Živanović
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 Živanović
We construct a filtration by ideals on quantum cohomology for symplectic manifolds with a Hamiltonian -action that extends to a pseudoholomorphic -action. These…
Invariance of symplectic cohomology and twisted cotangent bundles over surfaces
Gabriele Benedetti, Alexander F. Ritter
We prove that symplectic cohomology for open convex symplectic manifolds is invariant when the symplectic form undergoes deformations which may be non-exact and non-compactly suppo…
The McKay correspondence for isolated singularities via Floer theory
Mark McLean, Alexander F. Ritter
We prove the generalised McKay correspondence for isolated singularities using Floer theory. Given an isolated singularity \C^n/G for a finite subgroup G in SL(n,\C) and any crepan…
Circle-actions, quantum cohomology, and the Fukaya category of Fano toric varieties
Alexander F. Ritter
We define a class of non-compact Fano toric manifolds, called admissible toric manifolds, for which Floer theory and quantum cohomology are defined. The class includes Fano toric n…
The monotone wrapped Fukaya category and the open-closed string map
Alexander F. Ritter, Ivan Smith
We build the wrapped Fukaya category W(E) for any monotone symplectic manifold, convex at infinity. We define the open-closed and closed open-string maps. We study their algebraic…
Floer theory for negative line bundles via Gromov-Witten invariants
Alexander F. Ritter
Let M be the total space of a negative line bundle over a closed symplectic manifold. We prove that the quotient of quantum cohomology by the kernel of a power of quantum cup produ…
Topological quantum field theory structure on symplectic cohomology
Alexander F. Ritter
We construct the TQFT on symplectic cohomology and wrapped Floer cohomology, possibly twisted by a local system of coefficients, and prove that the TQFT respects Viterbo restrictio…
Deformations of symplectic cohomology and exact Lagrangians in ALE spaces
Alexander F. Ritter
We prove that the only exact Lagrangian submanifolds in an ALE space are spheres. ALE spaces are the simply connected hyperkahler manifolds which at infinity look like C^2/G for an…
Novikov-symplectic cohomology and exact Lagrangian embeddings
Alexander F. Ritter
Let L be an exact Lagrangian submanifold inside the cotangent bundle of a closed manifold N. We prove that if N satisfies a mild homotopy assumption then the image of π_2(L) in π_2…