16 citations · 55 across the 19 of their papers we have counts for
5 papers · 1 filter
The classification of surfaces via normal curves
Fethi Ayaz, Marc Kegel, Klaus Mohnke
We present a simple proof of the surface classification theorem using normal curves. This proof is analogous to Kneser's and Milnor's proof of the existence and uniqueness of the p…
Non-isotopic transverse tori in Engel manifolds
Marc Kegel
In every Engel manifold we construct an infinite family of pairwise non-isotopic transverse tori that are all smoothly isotopic. To distinguish the transverse tori in the family we…
Census L-space knots are braid positive, except for one that is not
Kenneth L. Baker, Marc Kegel
We exhibit braid positive presentations for all L-space knots in the SnapPy census except one, which is not braid positive. The normalized HOMFLY polynomial of o9_30634, when suita…
Contact surgery graphs
Marc Kegel, Sinem Onaran
We define a graph encoding the structure of contact surgery on contact 3-manifolds and analyze its basic properties and some of its interesting subgraphs.
Contact surgery numbers
John Etnyre, Marc Kegel, Sinem Onaran
It is known that any contact 3-manifold can be obtained by rational contact Dehn surgery along a Legendrian link L in the standard tight contact 3-sphere. We define and study vario…