4 papers
On a volume invariant of 3-manifolds
Marc Kegel, Arunima Ray, Jonathan Spreer +2
This paper investigates a real-valued topological invariant of 3-manifolds called topological volume. For a given 3-manifold M it is defined as the smallest volume of the complemen…
Contact surgery distance
Marc Kegel, Isacco Nonino, Monika Yadav
In this article, we define the contact surgery distance of two contact 3-manifolds and as the minimal number of contact surgeries needed to obtain from…
On the detection of knotted spheres by their traces in high dimensions
Valentina Bais, Alessio Di Prisa, Daniel Hartman +8
For every , we demonstrate the existence of non-isotopic smooth -knots in with diffeomorphic traces by generalising the RBG link construction to all dimensio…
Contact surgery numbers of projective spaces
Marc Kegel, Monika Yadav
We classify all contact projective spaces with contact surgery number one. In particular, this implies that there exist infinitely many non-isotopic contact structures on the real…