On the Fukaya category of a Fano hypersurface in projective space
From MaRDI portal
Publication:507687
DOI10.1007/s10240-016-0082-8zbMath1453.53079arXiv1306.4143OpenAlexW3101623788MaRDI QIDQ507687
Publication date: 7 February 2017
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.4143
Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Mirror symmetry (algebro-geometric aspects) (14J33) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)
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Cites Work
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- On the homological mirror symmetry conjecture for pairs of pants
- Lagrangian topology and enumerative geometry
- Floer cohomology and pencils of quadrics
- Lagrangian cobordism and Fukaya categories
- The monotone wrapped Fukaya category and the open-closed string map
- A geometric criterion for generating the Fukaya category
- Compact generators in categories of matrix factorizations
- Relative frames on \(J\)-holomorphic curves
- Fukaya \(A_\infty\)-structures associated to Lefschetz fibrations. I
- Lagrangian Floer theory on compact toric manifolds. II: Bulk deformations
- Exploiting sparsity in linear and nonlinear matrix inequalities via positive semidefinite matrix completion
- Infinity-inner-products on \(A\)-infinity-algebras.
- Lagrangian tori in four-dimensional Milnor fibres
- Fukaya categories and Picard-Lefschetz theory
- \(A_\infty\)-subalgebras and natural transformations
- Suspending Lefschetz fibrations, with an application to local mirror symmetry
- Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds
- Zero-loop open strings in the cotangent bundle and Morse homotopy
- Braid group actions on derived categories of coherent sheaves.
- Deformation quantization of Poisson manifolds
- Transversality in elliptic Morse theory for the symplectic action
- Structure of the image of (pseudo)-holomorphic discs with totally real boundary condition
- Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for \(\mathbb{P}^1_{a,b,c}\)
- Lie theory for nilpotent \(L_{\infty}\)-algebras
- Products of Floer cohomology of torus fibers in toric Fano manifolds
- Homological mirror symmetry for Calabi-Yau hypersurfaces in projective space
- Lagrangian Floer theory on compact toric manifolds. I.
- Abstract analogues of flux as symplectic invariants
- Homological mirror symmetry for the quartic surface
- A Beginner’s Introduction to Fukaya Categories
- Homological Mirror Symmetry for the genus two curve
- Differential Forms On Regular Affine Algebras
- Group-Graded Rings, Smash Products, and Group Actions
- Strong homotopy inner product of an A -algebra
- A biased view of symplectic cohomology
- Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
- Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I
- On quantum cohomology rings for hypersurfaces in CPN−1
- Graded lagrangian submanifolds
- The Lagrangian Cubic Equation
- Strongly homotopy lie algebras
- Quantum Cohomology of Rational Surfaces
- Homological Algebra of Mirror Symmetry
- Addendum to “Floer Cohomology of Lagrangian Intersections and Pseudo‐Holomorphic Discs, I”
- Quantum cohomology of complete intersections
- Equivariant Gromov - Witten Invariants
- Lagrangian Floer theory on compact toric manifolds: survey
- A Lagrangian Piunikhin-Salamon-Schwarz Morphism and Two Comparison Homomorphisms in Floer Homology
- Mirror symmetry and T-duality in the complement of an anticanonical divisor
- A mathematical theory of quantum cohomology
