Quantum Periods For Certain Four-Dimensional Fano Manifolds

Abstract

We collect a list of known four-dimensional Fano manifolds and compute their quantum periods. This list includes all four-dimensional Fano manifolds of index greater than one, all four-dimensional toric Fano manifolds, all four-dimensional products of lower-dimensional Fano manifolds, and certain complete intersections in projective bundles.

44 pages. Includes results of computer algebra calculations and full source code: see the Appendices and the ancillary files. v2: typos corrected, explained connections to the work of Batyrev--Ciocan-Fontanine--Kim--van Straten. v3: fixed strange problem with PDF generation

References in corpus (1)

• Computing periods of rational integrals

Cited by in corpus (5)

• Maximally Mutable Laurent Polynomials
• Smooth Fano four folds in Gorenstein formats
• Databases of quantum periods for Fano manifolds
• Fano 3-folds from homogeneous vector bundles over Grassmannians
• Projective bundles and blow-ups of Projective spaces