The package KhT computes the Khovanov and Bar-Natan homology of arbitrary tangles from a splitting into elementary tangles. For pointed 4-ended tangles, it also computes the immersed curve invariants from [KWZ]. An example can be found in examples/2-cable-trefoil.py. Simply open the terminal in the root folder and run
python3 KhT 2-cable-trefoil
This creates the two files
examples/2-cable-trefoil_BNr_field=7.pdfandexamples/2-cable-trefoil_Khr_field=7.pdf
which contain the reduced Bar-Natan homology and the reduced Khovanov homology of the tangle, respectively. To compute a new example, make a copy of the template file
cp examples/template.py examples/new_tangle.py
and edit the new file appropriately. The computation for the new tangle can be run via
python3 KhT new_tangle
If you have comments or questions about this package, or if you find a bug, please get in touch.
[KWZ] Artem Kotelskiy, Liam Watson and Claudius Zibrowius, Immersed curves in Khovanov homology, arXiv preprint 1910.14584
This program is licensed under the GNU General Public License, version 3.
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