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- W2094944055 abstract "Sutured manifolds defined by Gabai are useful in the geometrical study of knots and 3-dimensional manifolds. On the other hand, homology cylinders are in an important position in the recent theory of homology cobordisms of surfaces and finite-type invariants. We study a relationship between them by focusing on sutured manifolds associated with a special class of knots which we call {it homologically fibered knots}. Then we use invariants of homology cylinders to give applications to knot theory such as fibering obstructions, Reidemeister torsions and handle numbers of homologically fibered knots." @default.
- W2094944055 created "2016-06-24" @default.
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- W2094944055 date "2008-07-25" @default.
- W2094944055 modified "2023-09-23" @default.
- W2094944055 title "Homology cylinders and sutured manifolds for homologically fibered knots" @default.
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- W2094944055 doi "https://doi.org/10.48550/arxiv.0807.4034" @default.
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