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Stein traces and characterizing slopes

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  1. Article

    Open Access

    Trisecting a 4-dimensional book into three chapters

    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 slight variation of this algor...

    Marc Kegel, Felix Schmäschke in Geometriae Dedicata (2024)

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  2. Article

    Open Access

    The Classification of Surfaces via Normal Curves

    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 prime decomposition of 3-manif...

    Fethi Ayaz, Marc Kegel… in Jahresbericht der Deutschen Mathematiker-Vereinigung (2023)

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  3. Article

    Open Access

    A Boothby–Wang Theorem for Besse Contact Manifolds

    A Reeb flow on a contact manifold is called Besse if all its orbits are periodic, possibly with different periods. We characterize contact manifolds whose Reeb flows are Besse as principal

    Marc Kegel, Christian Lange in Arnold Mathematical Journal (2021)

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