Quantum cohomology of flag varieties

GEOATOMS brings together computed examples and software for genus-zero Gromov–Witten theory. The catalog covers flag varieties and their complete intersections; the Python package gwflags computes their invariants by exact virtual localization.

Explore the catalog Use the software

Explore the examples

Browse projective complete intersections, Grassmannians, flag varieties and their sections, or the Fano threefold reference catalog. Each computed entry includes a multiplication matrix and the information needed to interpret it.

The collection includes 131 completed computations. Download matrices and inputs to reuse the symbolic results, bases and gradings in your own calculations.

Compute with gwflags

Use the local browser interface, command line or Python API to compute GW invariants and multiplication by the first Chern class. For complete intersections, the returned matrix acts on the flag-ambient sector; Methods and conventions explains its scope.

The stable software is v1.0.5. Download its source ZIP, follow the installation guide, or read the release notes.