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Create issues from TODO #104

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saraedum opened this issue Dec 9, 2024 · 0 comments
Open

Create issues from TODO #104

saraedum opened this issue Dec 9, 2024 · 0 comments

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@saraedum
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saraedum commented Dec 9, 2024

this repository used to contain a TODO list:

- affine group of an origami

- compute cylinder decompositions for integral interval exchanges for
  arbitrary precision integers (use fmpz_t/mpz_t from flint/GMP)

- representation of the affine group in homology. Together with
nice examples
 -> Wollmilchsau
 -> other cyclic covers

- "sparse permutation" to encode origamis and square tiled surfaces
  (including the quadratic differential case)

- quartic differentials and higher order differentials

- generic flat and translation surfaces (built from a triangulation or more
  generally a decomposition into convex polygons).
   - nice plot of trajectory
   - billiards (and parking garage) unfolding
   - unfolding of conical surfaces
  (look also at Ronen Mukamel code)

- Delaunay Lp-triangulations (for flat surfaces)

- SL(2,R) orbit closures (using Delaunay L-infinity triangulation)
   - volume computation (needs non-trivial integration)

- include Alex Eskin code about computing cylinder decomposition
  (it might actually be good to reimplement it using Ferenczi generalized diagonal changes)

- include Michael Boshernitzan algorithm to check for minimality

- interface with Snappy (i.e. mapping torus)

- implement an algorithm to enumerate pseudo-Anosov in a fixed stratum ordered by length

- interval exchanges in the non-orientable case
    - minimal component of the Rauzy diagram
    - orientation cover

- separate topological surfaces

- more on geometry of surfaces (uniformization, quasi-conformal mappings, etc)

- Ribbon graphs https://github.com/riccardomurri/fatghol

- Ricci flow https://github.com/safnuk/facegraph

This should be turned into proper issues instead.

@saraedum saraedum changed the title Create issues form TODO Create issues from TODO Dec 9, 2024
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