Mirror symmetry for hypersurfaces in weighted projective space and topological couplings

DOI10.1016/0550-3213(94)90382-4zbMath0896.14020arXivhep-th/9311014OpenAlexW2064547789MaRDI QIDQ5906572

Per Berglund, Sheldon Katz

Publication date: 6 September 1994

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9311014

zbMATH Keywords

hypersurfacetoric geometry

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of deformations of analytic structures to the sciences (32G81) Period matrices, variation of Hodge structure; degenerations (32G20) Applications of compact analytic spaces to the sciences (32J81) (3)-folds (14J30) Hypersurfaces and algebraic geometry (14J70)

Related Items

Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory, Mirror symmetry and the moduli space for generic hypersurfaces in toric varieties, Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface, Multiple Mellin-Barnes integrals as periods of Calabi-Yau manifolds with several moduli, Mirror symmetry for two-parameter models. I

Cites Work

• Moduli space of Calabi-Yau manifolds
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Polynomial deformations and cohomology of Calabi-Yau manifolds
• Linear Gale transforms and Gelfand-Kapranov-Zelevinskij decompositions
• On the classification of quasihomogeneous functions
• Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
• Mirror symmetry for two-parameter models. I
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties
• Mirror symmetry for Calabi-Yau hypersurfaces in weighted \(\mathbb{P}_4\) and extensions of Landau-Ginzburg theory
• All abelian symmetries of Landau-Ginzburg potentials
• TOPOLOGICAL LANDAU-GINZBURG MODELS
• Introduction to Toric Varieties. (AM-131)
• Lines on Calabi Yau complete intersections, mirror symmetry, and Picard Fuchs equations
• Quantum Cohomology Rings of Toric Manifolds
• PICARD-FUCHS EQUATIONS AND SPECIAL GEOMETRY
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item