On the Cohomology Groups of Real Lagrangians in Calabi–Yau Threefolds

DOI10.1080/10586458.2021.1926006zbMath1517.14025arXiv2002.03957OpenAlexW3173876725MaRDI QIDQ6042971

Hülya Argüz, Thomas Prince

Publication date: 4 May 2023

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

Full work available at URL: https://arxiv.org/abs/2002.03957

zbMATH Keywords

mirror symmetryCalabi-Yau threefoldHodge numbersHeegard decompositionreal Lagrangian

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

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• The mod 2 cohomology of fixed point sets of anti-symplectic involutions
• From real affine geometry to complex geometry
• A pair of Calabi-Yau manifolds as an exactly soluble superconformal theory.
• Lagrangian 3-torus fibrations
• On the classification of toric Fano 4-folds
• The Magma algebra system. I: The user language
• Mirror symmetry, Langlands duality, and the Hitchin system
• Asymptotic behaviour of Betti numbers of real algebraic surfaces
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• Mirror duality and string-theoretic Hodge numbers
• Mirror symmetry is \(T\)-duality
• Torus fibrations of Calabi-Yau hypersurfaces in toric varieties
• Real loci in (log) Calabi-Yau manifolds via Kato-Nakayama spaces of toric degenerations
• Tropical homology
• Mirror symmetry via logarithmic degeneration data. I
• The structure of complete locally affine manifolds
• Toric degenerations and Batyrev-Borisov duality
• General mirror pairs for gauged linear sigma models
• Symmetries of Lagrangian fibrations
• Holonomy of flat affinely connected manifolds
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On Calabi-Yau Complete Intersections in Toric Varieties
• A Note on Schoen's Calabi--Yau Threefolds
• The Sage Project: Unifying Free Mathematical Software to Create a Viable Alternative to Magma, Maple, Mathematica and MATLAB
• Calabi-Yau manifolds in weighted \({\mathbb{P}}_4\)
• Topological mirror symmetry