【摘要】
We show that the upper bound of the diameter of the Kakimizu complex of an atoroidal knot grows linearly with the knot genus g. Specifically, the diameter is at most 2 when g=1, at most 6 when g=2,and at most 4g−3 for g≥3. This confirms a conjecture of Sakuma–Shackleton. This is a joint work with Xiao Chen.
