knot-floer-homology 1.2.2

Python wrapper for Zoltán Szabó's HFK Calculator

Python wrapper for Zoltán Szabó’s HFK Calculator.

Installing

To install and test, do the following to install the current release from PyPI:

python3 -m pip install knot_floer_homology
python3 -m knot_floer_homology.test

You should see a result such as TestResults(failed=0, attempted=24).

Usage

In Python, do:

>>> import knot_floer_homology
>>> PD = [(2,0,3,15),(0,6,1,5),(6,2,7,1),(3,10,4,11),(9,4,10,5),(7,12,8,13),(13,8,14,9),(11,14,12,15)]
>>> knot_floer_homology.pd_to_hfk(PD)
{'L_space_knot': False,
 'epsilon': 0,
 'fibered': True,
 'modulus': 2,
 'nu': 0,
 'ranks': {(-2, -2): 1, (-1, -1): 2, (0, 0): 3, (1, 1): 2, (2, 2): 1},
 'seifert_genus': 2,
 'tau': 0,
 'total_rank': 9}

It also accepts Spherogram knots as input:

>>> import spherogram
>>> L = spherogram.Link('K10n10')
>>> ans = knot_floer_homology.pd_to_hfk(L)
>>> ans['seifert_genus']
3

It can also return the simplified UV = 0 knot Floer chain complex, do:

>>> help(knot_floer_homology.pd_to_hfk)

for details.

License

Copyright Zoltán Szabó, Marc Culler, Nathan M. Dunfield, and Matthias Goerner, 2017-present. This code is released under the GNU General Public License, version 2 or (at your option) any later version as published by the Free Software Foundation.