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- W4287978232 abstract "We prove that if a fibered knot $K$ with genus greater than one in a three-manifold $M$ has a sufficiently complicated monodromy, then $K$ induces a minimal genus Heegaard splitting $P$ that is unique up to isotopy, and small genus Heegaard splittings of $M$ are stabilizations of $P$. We provide a complexity bound in terms of the Heegaard genus of $M$. We also provide global complexity bounds for fibered knots in the three-sphere and lens spaces." @default.
- W4287978232 created "2022-07-26" @default.
- W4287978232 creator A5021466697 @default.
- W4287978232 date "2019-12-30" @default.
- W4287978232 modified "2023-09-24" @default.
- W4287978232 title "Heegaard genus and complexity of fibered knots" @default.
- W4287978232 doi "https://doi.org/10.48550/arxiv.1912.13019" @default.
- W4287978232 hasPublicationYear "2019" @default.
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