Abstract
The fibering obstruction is the Whitehead torsion invariant whose vanishing is the necessary and sufficient condition for a manifold of dimension ≥ 6 with finitely dominated infinite cyclic cover (i.e. a band) to fibre over a circle. Given a codimension 2 framed submanifold N n ⊂ M n+2 it is natural to ask if the exterior M\(N × D 2) is actually a fibre bundle over S 1 — see Chap. 33 for more on fibred knots. See Hughes and Ranicki [113] for a general account of the fibering obstruction.
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© 1998 Springer-Verlag Berlin Heidelberg
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Ranicki, A. (1998). The fibering obstruction. In: High-dimensional Knot Theory. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12011-8_15
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DOI: https://doi.org/10.1007/978-3-662-12011-8_15
Publisher Name: Springer, Berlin, Heidelberg
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