5 papers
Monodromies of surfaces in 3-manifolds, right-veeringness, and primeness of links
Peter Feller, Lukas Lewark, Miguel Orbegozo Rodriguez
Extending the notion of monodromies associated with open books of -manifolds, we consider monodromies for all incompressible surfaces in -manifolds as partial self-maps of th…
Effective hyperbolization and length bounds for Heegaard splittings
Peter Feller, Alessandro Sisto, Gabriele Viaggi
We consider 3-manifolds given as Heegaard splittings with the aim to describe the hyperbolic metric of under topological conditions on the splitting guaranteei…
Homogeneous braids are visually prime
Peter Feller, Lukas Lewark, Miguel Orbegozo Rodriguez
We show that closures of homogeneous braids are visually prime, addressing a question of Cromwell. The key technical tool for the proof is the following criterion concerning primen…
The twisting number of a ribbon knot is bounded below by its doubly slice genus
Vitalijs Brejevs, Peter Feller
The twisting number of a ribbon knot is the minimal number of tangle replacements on the symmetry axis of for any knot that is required to produce a symmetric uni…
Seifert surfaces in the four-ball and composition of binary quadratic forms
Menny Aka, Peter Feller, Alison Beth Miller +1
We use composition of binary quadratic forms to systematically create pairs of Seifert surfaces that are non-isotopic in the four-ball. Our main topological result employs Gauss co…