5 papers
The -genus of boundary links
Peter Feller, JungHwan Park, Mark Powell
The -genus of a link in is the minimal genus of a locally flat, embedded, connected surface in whose boundary is and with the fundamental group of t…
Examples of non-minimal open books with high fractional Dehn twist coefficient
Peter Feller, Diana Hubbard
In this short note we construct examples of open books for 3-manifolds that show that arbitrarily high twisting of the monodromy of the open book does not guarantee maximality of t…
Non-orientable slice surfaces and inscribed rectangles
Peter Feller, Marco Golla
We discuss differences between genera of smooth and locally-flat non-orientable surfaces in the 4-ball with boundary a given torus knot or 2-bridge knot. In particular, we establis…
Genus one cobordisms between torus knots
Peter Feller, JungHwan Park
We determine the pairs of torus knots that have a genus one cobordism between them, with one notable exception. This is done by combining obstructions using from the Heegaard…
Up to topological concordance links are strongly quasipositive
Maciej Borodzik, Peter Feller
We generalize an algorithm of Rudolph to establish that every link is topologically concordant to a strongly quasipositive link.