Flops, Gromov-Witten Invariants and Symmetries of Line Bundle Cohomology\n on Calabi-Yau Three-folds

2020/10/13 by Callum R. Brodie, Andrei Constantin, Brodie, Callum R. +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th)

paper · pdf · doi:10.48550/arxiv.2010.06597

openalex publication_date 2020/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The zeroth line bundle cohomology on Calabi-Yau three-folds encodes\ninformation about the existence of flop transitions and the genus zero\nGromov-Witten invariants. We illustrate this claim by studying several Picard\nnumber 2 Calabi-Yau three-folds realised as complete intersections in products\nof projective spaces. Many of these manifolds exhibit certain symmetries on the\nPicard lattice which preserve the zeroth cohomology.\n

Citations

• Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds

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