Contractibility of the complex of incompressible Seifert surfaces: the knot case of Kakimizu's problem

Guancheng Pan, Chengsong You, Junwei Zhou +1

Let $K\subset S^3$ be a non-trivial knot and let $IS(K)$ be the simplicial complex whose vertices are the ambient isotopy classes of incompressible Seifert surfaces in the exterio…