On higher-dimensional fibered knots-Reference-Cited by-同舟云学术

On higher-dimensional fibered knots

Published:1971 Issue:0 Volume:153 Page:415-426
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Andrews J. J.,Sumners D. W.

Abstract

The geometrical properties of a fibration of a knot complement over S 1 {S^1} are used to develop presentations for the homotopy groups as modules over the fundamental group. Some homotopy groups of spun and twist-spun knots are calculated.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1971-153-00/S0002-9947-1971-0271927-5/S0002-9947-1971-0271927-5.pdf

Reference7 articles.

1. Knotted 2-spheres in the 4-sphere;Andrews, J. J.;Ann. of Math. (2),1959

2. The second homotopy group of spun 2-spheres in 4-space;Andrews, J. J.;Bull. Amer. Math. Soc.,1969

3. Fibering manifolds over a circle;Browder, W.;Comment. Math. Helv.,1966

4. Linking spheres;Epstein, D. B. A.;Proc. Cambridge Philos. Soc.,1960

5. The obstruction to fibering a manifold over a circle;Farrell, F. T.;Bull. Amer. Math. Soc.,1967

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1. Roll-spun knots;Mathematical Proceedings of the Cambridge Philosophical Society;1993-01

2. Spinning knots about submanifolds; spinning knots about projections of knots;Topology and its Applications;1989-05

3. Untwisted deform-spun knots: Examples of symmetry-spun 2-knots;Transformation Groups;1989

4. Infinitely many ribbon knots with the same fundamental group;Mathematical Proceedings of the Cambridge Philosophical Society;1985-11

5. A survey of multidimensional knots;Lecture Notes in Mathematics;1978