3 papers
math.GT2026
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…
math.GT2025
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…
math.GT2025
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…