5 papers
The support genus does not increase under contact connected sum
Miguel Orbegozo Rodriguez, Eric Stenhede
We show that the support genus of the contact connected sum of two contact -manifolds is at most the maximum of the support genera of the summands. In particular, iterated conne…
Non-fibered strongly quasipositive links and tightness
Isacco Nonino, Miguel Orbegozo Rodriguez
It is well known that for fibered links in being strongly quasipositive and supporting a tight contact structure are equivalent notions (arXiv:math/0509499). In this…
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…
Detecting right-veering diffeomorphisms
Miguel Orbegozo Rodriguez
A result of Honda, Kazez, and MatiÄ states that a contact structure is tight if and only if all its supporting open books are right-veering. We show a combinatorial way of detecti…
On binding sums of contact manifolds
Miguel Orbegozo Rodriguez
In this short note, we give examples of binding sums of contact 3-manifolds that do not preserve properties such as tightness or symplectic fillability. We also prove vanishing of…