Curver is a program for performing calculations in the curve complex. It implements the Bell–Webb algorithm to determine the Nielsen–Thurston type of a mapping class. This algorithm runs in polynomial time but the constants involved currently make this implementation impractical.
Curver officially supports Python 3.8 – 3.12. Unoffically, it also runs on PyPy and Sage with some care.
Quickstart
Curver is available on PyPI, so it can be installed via:
$ pip install curver --user --upgrade
Once installed, try it inside of Python:
>>> import curver
>>> S = curver.load(0, 5)
>>> S('s_0.s_1.s_0') == S('s_1.s_0.s_1')
True
>>> f = S('s_0.s_1.s_2.s_3')
>>> g = S('s_0.s_1.s_3.s_2')
>>> h = S('s_0.s_1.S_2.S_3')
>>> f.order(), g.order(), h.order()
(5, 5, 5)
>>> f.is_conjugate_to(g)
True
>>> f.is_conjugate_to(g)
False
Features
Solves the word problem for mapping class groups.
Performs Nielsen–Thurston classification of mapping classes.
Computes the asymptotic translation length of mapping classes on the curve complex.
Computes geodesics in the curve complex.
Computes quotient orbifolds and their quotient maps.
Computes the action of mapping classes on H_1.
Determines the topological type of multicurves.
External Links
1 maintainer
Metadata
1 maintainer
Release files for curver 0.5.1
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Source distribution (sdist)
| File | Size | Uploaded | Provenance | Actions |
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| curver-0.5.1.tar.gz | 134.5 kB | With provenance | Details for curver-0.5.1.tar.gz |
Release files / curver-0.5.1.tar.gz
| Download URL | curver-0.5.1.tar.gz |
|---|---|
| Size | 134.5 kB |
| Tags | Source |
|
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twine/6.0.1 CPython/3.12.8
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Signed by GitHub Actions, verified by PyPI on Dec 22, 2024.
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