3 papers
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…
math.GT2024
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…
math.GT2024
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…