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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.GT2023
Khovanov homology of positive links and of L-space knots
Marc Kegel, Naageswaran Manikandan, Leo Mousseau +1
We determine the structure of the Khovanov homology groups in homological grading 1 of positive links. More concretely, we show that the first Khovanov homology is supported in a s…
math.GT2023
Trisecting a 4-dimensional book into three chapters
Marc Kegel, Felix Schmäschke
We describe an algorithm that takes as input an open book decomposition of a closed oriented 4-manifold and outputs an explicit trisection diagram of that 4-manifold. Moreover, a s…