sage-flatsurf

sage-flatsurf is a Python package for working with flat surfaces in SageMath.

We aim for sage-flatsurf to support the investigation of geometric, algebraic and dynamical questions related to flat surfaces. By flat surface we mean a surface modeled on the plane with monodromy given by similarities of the plane, though current efforts are focused on translation surfaces and half-translation surfaces.

Please consult our documentation to see some of the capabilities of sage-flatsurf.

sage-flatsurf is free software, released under the GPL v2 (or later).

We welcome any help to improve sage-flatsurf. If you would like to help, have ideas for improvements, or if you need any assistance in using sage-flatsurf, please don't hesitate to contact us.

Installation

See our documentation for detailed installation instructions.

Run with Binder in the Cloud

You can try out sage-flatsurf in an environment online; unfortunately it might take a long time for this environment to start:

Developing sage-flatsurf

Please consult our Developer's Guide to build sage-flaturf from source and to run our test suite.

Contributors

The main authors and current maintainers of sage-flatsurf are:

• Vincent Delecroix (Bordeaux)
• W. Patrick Hooper (City College of New York and CUNY Graduate Center)
• Julian Rüth

We welcome others to contribute.

How to Cite This Project

If you have used this project, please cite us as described on our zenodo website.

Acknowledgements

• sage-flatsurf was started during a thematic semester at ICERM.
• Vincent Delecroix's contribution to the project has been supported by OpenDreamKit, Horizon 2020 European Research Infrastructures project #676541.
• W. Patrick Hooper's contribution to the project has been supported by the National Science Foundation under Grant Number DMS-1500965. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
• Julian Rüth's contributions to this project have been supported by the Simons Foundation Investigator grant of Alex Eskin.