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Free genus one knots with large volume
Mark Brittenham
A Seifert surface F for a knot K is free if the complement of F is a handlebody (i.e., has free fundamental group). The free genus of K is the minimum genus among all free Seifert…
Bounding canonical genus bounds volume
Mark Brittenham
A Seifert surface for a knot K is called canonical if it can be built by applying Seifert's algorithm to some projection of K. The canonical genus of K is the smallest genus of a s…
Persistent laminations from Seifert surfaces
Mark Brittenham
A persistent lamination for a knot K is an essential lamination in the complement of K, which remains essential after every non-trivial Dehn surgery along K. Having a persistent la…
Persistently laminar tangles
Mark Brittenham
A persistent lamination for a knot K is an essential lamination in the complement of the K, which remains essential after every non-trivial Dehn surgery along K. In particular, thi…