Regularized Quantum Periods for Four-Dimensional Fano Manifolds

Imperial College London provides a database of regularized quantum periods for four-dimensional Fano manifolds. The dataset is maintained by Tom Coates and will be updated as new manifolds are discovered and periods computed. Each entry is a key-value record structured as described in the associated research paper.

Use Cases

• Computing Gromov-Witten invariants based on regularized quantum period data.
• Studying mirror symmetry constructions for four-dimensional Fano manifolds.
• Classifying and comparing properties of Fano manifolds from different families like Obro's classification or Strangeway manifolds.
• Validating theoretical predictions in quantum cohomology against computed period sequences.

Strengths

• Data is directly linked to a published paper and a citable DOI (10.5281/zenodo.5708307).
• The description provides a detailed naming scheme for manifold families, aiding interpretation.
• The database is described as being actively updated with new discoveries.

Limitations

• Row count and dataset size are unknown, limiting suitability assessment.
• Column-level documentation is absent; field semantics must be inferred from the paper.
• Last update date is unknown; freshness unverified.

Provenance

Source

Tom Coates, Imperial College London

Collection Method

Computational derivation of regularized quantum periods, as per the paper [CK2021].