Diffeomorphisms of 4-manifolds from graspers

Danica Kosanović

doi:10.1112/plms.70065

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arXiv · 2405.05822

Diffeomorphisms of 4-manifolds from graspers

Danica Kosanović

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Abstract

We relate degree one grasper families of embedded circles to various constructions of diffeomorphisms found in the literature -- theta clasper classes of Watanabe, barbell diffeomorphisms of Budney and Gabai, and twin twists of Gay and Hartman. We use a ``parameterised surgery map'' that for a smooth 4-manifold $M$ takes loops of framed embeddings of $S^1$ in the manifold obtained by surgery on some 2-sphere in $M$, to the mapping class group of $M$.

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Danica Kosanović. 2024-05-09. Diffeomorphisms of 4-manifolds from graspers. https://doi.org/10.1112/plms.70065

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