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.

7 pages, 4 figures

References in corpus (1)

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

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