A collection of SageMath code for box-counting computations. Here are some of the more useful objects that are implemented.
- 3d partitions (with legs).
- Fully equivariant 3-leg DT and PT vertices in cohomology and K-theory (checked to be equal, after normalization, up to legs of size 4 and 6 extra boxes).
- The elliptic Hall algebra and its Fock representation on symmetric polynomials.
- (new) The K-theoretic stable basis (at all slopes) for the Hilbert scheme.
If you are also counting boxes and would like a new feature implemented, feel free to let me know.