27 citations · 79 across the 17 of their papers we have counts for
17 papers
Flipping Heegaard splittings of Seifert fibered spaces
Jennifer Schultens
A Heegaard splitting of a -manifold is flippable if there is an isotopy that interchanges the two sides of the Heegaard splitting. We explore which Heegaard splittings of Seifer…
Strong Haken via Sphere Complexes
Sebastian Hensel, Jennifer Schultens
We give a short proof of Scharlemann's Strong Haken Theorem for closed -manifolds (and manifolds with spherical boundary). As an application, we also show that given a decomposi…
The surface complex of Seifert fibered spaces
Jennifer Schultens
We define the surface complex for -manifolds and embark on a case study in the arena of Seifert fibered spaces. The base orbifold of a Seifert fibered space captures some of the…
The Kakimizu complex of a surface
Jennifer Schultens
The Kakimizu complex is usually defined in the context of knots, where it is known to be quasi-Euclidean. We here generalize the definition of the Kakimizu complex to surfaces and…
Contractibility of the Kakimizu complex and symmetric Seifert surfaces
Piotr Przytycki, Jennifer Schultens
Kakimizu complex of a knot is a flag simplicial complex whose vertices correspond to minimal genus Seifert surfaces and edges to disjoint pairs of such surfaces. We discuss a gener…
Thin position for knots and 3-manifolds: a unified approach
Hugh Howards, Yo'av Rieck, Jennifer Schultens
We unify the notions of thin position for knots and for 3-manifolds and survey recent work concerning these notions.