Floer theory for negative line bundles via Gromov-Witten invariants

DOI10.1016/j.aim.2014.06.009zbMath1294.53075arXiv1106.3975OpenAlexW2027928997MaRDI QIDQ2251908

Alexander F. Ritter

Publication date: 15 July 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.3975

zbMATH Keywords

Floer theorynegative line bundlesymplectic quantum cohomology

Mathematics Subject Classification ID

Symplectic aspects of Floer homology and cohomology (53D40) Floer homology (57R58) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (20)

Quantum Steenrod squares and the equivariant pair-of-pants in symplectic cohomology ⋮ The rôle of Coulomb branches in 2D gauge theory ⋮ Hamiltonian Floer homology for compact convex symplectic manifolds ⋮ Reeb orbits and the minimal discrepancy of an isolated singularity ⋮ Quantum cohomology as a deformation of symplectic cohomology ⋮ Disjoinable Lagrangian tori and semisimple symplectic cohomology ⋮ Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence ⋮ The McKay correspondence for isolated singularities via Floer theory ⋮ Floer theory and reduced cohomology on open manifolds ⋮ On fillings of \(\partial (V\times \mathbb{D})\) ⋮ Invariance of symplectic cohomology and twisted cotangent bundles over surfaces ⋮ Maximum principles in symplectic homology ⋮ A computation of the ring structure in wrapped Floer homology ⋮ Rabinowitz Floer homology and mirror symmetry ⋮ The monotone wrapped Fukaya category and the open-closed string map ⋮ Vanishing of Rabinowitz Floer homology on negative line bundles ⋮ The quantitative nature of reduced Floer theory ⋮ Mather theory and symplectic rigidity ⋮ On the filtered symplectic homology of prequantization bundles ⋮ \((\mathbb{R}\mathbb{P}^{2n-1},\xi_{\mathrm{std}})\) is not exactly fillable for \(n\neq 2^k\)

Cites Work

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• Floer cohomology and pencils of quadrics
• Deformations of symplectic cohomology and exact Lagrangians in ALE spaces
• Quantum Riemann-Roch, Lefschetz and Serre
• Fibered symplectic cohomology and the Leray-Serre spectral sequence
• Novikov-symplectic cohomology and exact Lagrangian embeddings
• An exact sequence for contact- and symplectic homology
• Localization of virtual classes
• Holomorphic curves in symplectic geometry
• \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings
• Handle attaching in symplectic homology and the chord conjecture
• Functors and computations in Floer homology with applications. I
• Applications of symplectic homology. II: Stability of the action spectrum
• A biased view of symplectic cohomology
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• Topological quantum field theory structure on symplectic cohomology
• Quantum Lefschetz hyperplane theorem
• A mathematical theory of quantum cohomology

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