Shadows of acyclic 4-manifolds with sphere boundary

Yuya Koda; Hironobu Naoe

doi:10.2140/agt.2020.20.3707

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arXiv · 1905.00809

Shadows of acyclic 4-manifolds with sphere boundary

Yuya Koda·Hironobu Naoe

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Abstract

In terms of Turaev's shadows, we provide a sufficient condition for a compact, smooth, acyclic 4-manifold with boundary the 3-sphere to be diffeomorphic to the standard 4-ball. As a consequence, we prove that if a compact, smooth, acyclic 4-manifold with boundary the 3-sphere has shadow-complexity at most 2, then it is diffeomorphic to the standard 4-ball.

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Yuya Koda, Hironobu Naoe. 2019-05-02. Shadows of acyclic 4-manifolds with sphere boundary. https://doi.org/10.2140/agt.2020.20.3707

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