On strongly invertible L-space knots
This page collects additional code and data to accompany the paper On strongly invertible L-space knots by Kenneth L. Baker, Marc Kegel, and Duncan McCoy.
Notebooks:
Branching sets of symmetry-exceptional slopes of t09847
Branching sets of symmetry-exceptional slopes of 09_30634
Branching sets of the two counterexamples
The reduced Khovanov homologies of the branching sets of K1 and K2 can be viewed here:
KH(T_1(14))
KH(T_1(15))
KH(T_1(16))
KH(T_1(17))
KH(T_1(18)
KH(T_1(19))
KH(T_1(20))
KH(T_1(21))
KH(T_1(22))
KH(T_2(11))
KH(T_2(12))
KH(T_2(13))
KH(T_2(14))
KH(T_2(15))
KH(T_2(16))
KH(T_2(17))
KH(T_2(18))
KH(T_2(19))
Remark: Some of the gradings in the above computations might seem to not fit the pattern of the others.
This is because the orientations of the branching sets do not fit into the above pattern. Since we are only interested in the Khovanov widths this does not cause any problems.
All notebooks, code, and data can also be downloaded as a single zip file here.
back