More strata

[videlec]

It would be desirable to have more constructions available

• meromorphic differentials in AbelianStratum and QuadraticStratum
  • classification of connected components: see Boissy arXiv:1211.4951 in the Abelian case and Chen Gendron arXiv:2101.01650 in the quadratic case
  • analogue of Rauzy diagrams via flips in ribbon graphs with angle at each corner (= a multiple of pi)
  • TODO: find an explicit representative for each connected components
  • TODO: recognize the connected component of a given ribbon graph
• Design a more flexible construction of connected components which is not computed in the constructor

And some possible follow-up

• strata of k-differentials? (such surfaces do not exist in surface_dynamics but but do in sage-flatsurf)
• nodal surfaces
• non-connected surfaces (? see below)
• WYSIWYG (or at least the nodal version to avoid non-connected surfaces)
• BCGGM (partially available in diffstrata)

[videlec]

Alternatively, one could use (or adapt) Stratum and GeneralisedStratum from admcycles.diffstrata.