Symplectic cohomology rings of affine varieties in the topological limit
DOI10.1007/s00039-020-00529-1zbMath1451.53118arXiv1811.03609OpenAlexW3023916786MaRDI QIDQ776881
Sheel Ganatra, Daniel Pomerleano
Publication date: 13 July 2020
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1811.03609
affine varietysymplectic cohomologyCalabi-Yau varietylogarithmic cohomologymultiplicative spectral sequencePSS morphism
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Generalized geometries (à la Hitchin) (53D18)
Related Items (9)
Cites Work
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- Reeb orbits and the minimal discrepancy of an isolated singularity
- Effective Hironaka resolution and its complexity
- Effect of Legendrian surgery
- On the homological mirror symmetry conjecture for pairs of pants
- The growth rate of symplectic homology and affine varieties
- A topological model for the Fukaya categories of plumbings
- The Conley conjecture
- On the functoriality of the blow-up construction
- A geometric criterion for generating the Fukaya category
- Legendrian fronts for affine varieties
- Local Floer homology and infinitely many simple Reeb orbits
- The Künneth formula in Floer homology for manifolds with restricted contact type boundary
- An open string analogue of Viterbo functoriality
- Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
- Floer homology and the heat flow
- Mirror symmetry for log Calabi-Yau surfaces. I
- Fukaya categories and Picard-Lefschetz theory
- Symplectic hypersurfaces and transversality in Gromov-Witten theory
- Floer homology of cotangent bundles and the loop product
- Combinatorics and topology of complements of hyperplanes
- Relative Gromov-Witten invariants
- Compactness results in symplectic field theory
- Handle attaching in symplectic homology and the chord conjecture
- Subflexible symplectic manifolds
- log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over \(\mathbb{C}\)
- Decomposition into pairs-of-pants for complex algebraic hypersurfaces
- Transversality in elliptic Morse theory for the symplectic action
- Functors and computations in Floer homology with applications. I
- Normal crossings singularities for symplectic topology
- On the symplectic cohomology of log Calabi-Yau surfaces
- GW invariants relative to normal crossing divisors
- Koszul duality patterns in Floer theory
- Homological mirror symmetry for Calabi-Yau hypersurfaces in projective space
- Legendrian contact homology in the boundary of a subcritical Weinstein 4-manifold
- Holomorphic curves in exploded manifolds: compactness
- Brieskorn manifolds in contact topology
- Birational geometry of cluster algebras
- On the Floer homology of cotangent bundles
- Morse Theory, the Conley Index and Floer Homology
- A biased view of symplectic cohomology
- Symplectic homology product via Legendrian surgery
- Symplectic homology of complements of smooth divisors
- Symplectic Topology and Floer Homology
- Symplectic cohomology and Viterbo's theorem
- Topological quantum field theory structure on symplectic cohomology
- On Finitely Generated Flat Modules
- Lagrangian barriers and symplectic embeddings
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