Homological Mirror Symmetry for manifolds of general type
arXiv:1004.0129 · doi:10.2478/s11533-009-0056-x
Abstract
In this paper we outline a setup for Homological Mirror Symmetry for manifolds of general type. Both Physics and Categorical perspectives are considered.
48 pages, LaTeX, (v2) content the same, corrected misspelling in one author's name, (v3) content the same, fixed problems with figures at the end
References in corpus (12)
- Triangulated categories of singularities and D-branes in Landau-Ginzburg models
- Semiorthogonal decomposition for algebraic varieties
- Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves
- Remarks on A-branes, Mirror Symmetry, and the Fukaya category
- Formal completions and idempotent completions of triangulated categories of singularities
- Fukaya categories and deformations
- Homological mirror symmetry for the quartic surface
- Non-Abelian Brill-Noether theory and Fano 3-folds
- Lectures on Mirror Symmetry, Derived Categories, and D-branes
- Mirror symmetry for weighted projective planes and their noncommutative deformations
- Homological mirror symmetry for curves of higher genus
- Derived category of V_{12} Fano threefolds
Cited by in corpus (24)
- Determinantal Barlow surfaces and phantom categories
- Equivalences between GIT quotients of Landau-Ginzburg B-models
- Topological Fukaya category and mirror symmetry for punctured surfaces
- Homological mirror symmetry for open Riemann surfaces from pair-of-pants decompositions
- A category of kernels for equivariant factorizations and its implications for Hodge theory
- Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
- Motivic decompositions of moduli spaces of vector bundles on curves
- Period- and mirror-maps for the quartic K3
- Floer cohomology in the mirror of the projective plane and a binodal cubic curve
- Local Calabi-Yau manifolds of type \tilde{A} via SYZ mirror symmetry
- Perverse Curves and Mirror Symmetry
- Homological mirror symmetry for punctured spheres
- An extension of polar duality of toric varieties and its consequences in Mirror Symmetry
- Mirror symmetry for honeycombs
- A category of kernels for equivariant factorizations, II: further implications
- Reflections of NS5 branes
- Versality in mirror symmetry
- Floer cohomology and pencils of quadrics
- The Strominger-Yau-Zaslow conjecture and its impact
- Homological mirror symmetry for local Calabi-Yau manifolds via SYZ
- Coisotropic Branes in Toric Calabi-Yau 3-folds
- A-infinity algebras associated with curves and rational functions on M_{g,g}. I
- Bridgeland stability conditions and the tangent bundle of surfaces of general type
- Exponentially twisted cyclic homology