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

Abstract

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

arXiv comment7 pages, 4 figures

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• Machine Learning Line Bundle Cohomologies of Hypersurfaces in Toric Varieties
• The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric
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Cited by in corpus (3)

• Moduli Space Reconstruction and Weak Gravity
• Symmetries of Calabi-Yau Prepotentials with Isomorphic Flops
• Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties