Welcome to the surface-dynamics documentation!

Installation

The basic way to install the surface-dynamics package is via the pip Python installer that comes with your SageMath installation.

If you installed Sage from a downloaded binary (including the Cygwin version on Windows) or if you compiled Sage from source, then run:

$ sage -pip install surface-dynamics

You might want (or need) to provide the option --user to this command in order to install surface-dynamics in your home directory and keep intact your SageMath installation.

In case you use the sagemath package in a Debian or Ubuntu system you need to perform a two step installation:

$ source /usr/share/sagemath/bin/sage-env
$ sage -pip install surface-dynamics --user

If you use the sagemath package from Archlinux, run:

$ pip3 install git+https://github.com/flatsurf/surface-dynamics --user

Other sources of information:

• short tutorial: https://www.labri.fr/perso/vdelecro/flatsurf.html

• development webpage (including source code): https://github.com/flatsurf/surface-dynamics

Walk through

• Interval exchange transformations
• Square-tiled surfaces
• Filtering Possible \(\mathcal M\)-Parallel Classes

Module documentation

• Strata of Abelian and quadratic differentials
  • Template file
  • Abelian strata
  • Quadratic strata
  • Masur Veech volumes
• Surface topology and geometry
  • Separatrix diagrams
  • Homology
  • Fat graphs (or combinatorial maps)
• Origamis
  • Individual origamis and Teichmüller curves
  • Database
• Interval exchange transformations
  • Permutations
  • Interval exchange transformations
• Database of cylinder diagrams and quadratic permutations
  • CylinderDiagrams
  • GenericRepertoryDatabase
  • IrregularComponentTwins
  • line_count()
• Topological recursion
  • Generic topological recursion
  • Kontsevich topological recursion
  • Masur-Veech topological recursion
• Miscellaneous
  • Constellations
  • Finite group representation
  • Plane trees

References

• References

Citation

To cite the library, follow the instructions on our zenodo website.

Indices and tables

• Index

• Module Index

• Search Page