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- W1910367797 abstract "For a 4-manifold represented by a framed knot in $S^3$, it has been well known that the 4-manifold admits a Stein structure if the framing is less than the maximal Thurston-Bennequin number of the knot. In this paper, we prove either the converse of this fact is false or there exists a compact contractible oriented smooth 4-manifold (with Stein fillable boundary) admitting no Stein structure. Note that an exotic smooth structure on $S^4$ exists if and only if there exists a compact contractible oriented smooth 4-manifold with $S^3$ boundary admitting no Stein structure." @default.
- W1910367797 created "2016-06-24" @default.
- W1910367797 creator A5003639681 @default.
- W1910367797 date "2015-08-06" @default.
- W1910367797 modified "2023-09-25" @default.
- W1910367797 title "Nonexistence of Stein structures on 4-manifolds and maximal Thurston-Bennequin numbers" @default.
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- W1910367797 doi "https://doi.org/10.48550/arxiv.1508.01491" @default.
- W1910367797 hasPublicationYear "2015" @default.
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