3 papers
math.GT2026
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…
math.GT2026
A contact version of Kirby's theorem
Marc Kegel, Eric Stenhede, Vera Vértesi
A theorem of Ding and Geiges states that every closed, connected contact -manifold can be obtained from the standard tight contact -sphere by contact -surgery along a…
math.GT2026
An algorithm to Legendrian realize a curve on a ribbon surface
Eric Stenhede
We give an explicit algorithm to Legendrian realize a homologically nontrivial simple closed curve on a ribbon surface of a Legendrian graph in the standard contact structure $(\ma…