Description Usage Arguments Details Value Note References See Also Examples
View source: R/homology_calculation.R
This function calculates the quandle and rack homology groups of a given rack or birack.
1 |
degree |
This is the degree of the Homology group, that is, if one wants to calculate $H_3$, then degree=3. |
k |
This describes the order of the underlying rack or birack. |
quandle |
If quandle=TRUE, this calculates the quandle homology group. If FALSE, the rack homology is calculated. |
return_values |
If return_values = TRUE, the functions returns the diagonal of the Smith Normal Form. If FALSE (the default), the function calls output_results instead which prints the homology group to the screen. |
This function is based on the algorithm described in the references below. It should be sufficient for most users to change the up/down action functions according to their requirements and then run the calculation.
NULL if return_values is FALSE, the diagonal of the Smith Normal Form if return_values is TRUE.
Note that the rack/birack is determined by not only $k$, but also by the up and down actions in up_action
and down_action
http://www.maths.sussex.ac.uk/Staff/RAF/Maths/homo.pdf
degenerate_homology
down_action
up_action
output_results
1 2 |
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