Homological Mirror Symmetry for Calabi-Yau Hypersurfaces via Derived Fukaya Categories

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18145717
Cited by: 0

Abstract

We establish a categorical equivalence between the derived category of coherent sheaves on a Fermat Calabi-Yau hypersurface and the split-closed derived Fukaya category of its mirror Landau-Ginzburg orbifold using tropical Lagrangian torus fibrations.

Fields of Study & Subjects

Algebraic structures and combinatorial models Algebraic Geometry and Number Theory Homotopy and Cohomology in Algebraic Topology

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026