Pacific Journal of Mathematics

The oriented homotopy type of spun $3$-manifolds.

Alexander I. Suciu

Source: Pacific J. Math. Volume 131, Number 2 (1988), 393-399.

Primary Subjects: 57N13
Secondary Subjects: 55P15, 57M99

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102689936
Zentralblatt MATH identifier: 0594.57008
Mathematical Reviews number (MathSciNet): MR922225

References

[I] E. Artin, Zur Isotopie zweidimensionaler Flcher in R4, Abh. Math. Sem. Univ. Hamburg, 4 (1926), 174-177.
[2] R. Fintushel, Classification of circle actions on 4-manifolds, Trans. Amer. Math. Soc, 242 (1978), 377-390.
Mathematical Reviews (MathSciNet): MR81e:57036
Zentralblatt MATH: 0362.57015
[3] D. L. Goldsmith and L. H. Kauffman, Twist spinning revisited, Trans. Amer. Math. Soc, 239 (1978), 229-251.
Mathematical Reviews (MathSciNet): MR81f:57016
Zentralblatt MATH: 0391.57016
[4] C. McA. Gordon, A note on spun knots, Proc. Amer. Math. Soc,58 (1976), 361-362.
Mathematical Reviews (MathSciNet): MR54:1240
Zentralblatt MATH: 0334.57010
[5] I. Hambleton and M. Kreck, On the classification of topological 4-manifolds with finite fundamental group, preprint.
Mathematical Reviews (MathSciNet): MR89g:57020
[6] J. Hempel, 3-Manifolds,Princeton Univ. Press, Princeton, N.J, 1976.
[7] W. D. Neumann and F. Raymond, Seifert manifolds, plumbing, -inariant, and orientation reversing maps, in: Conference on Algebraic and Geometric Topology (Santa Barbara, 1978),Springer-VerlagLNM664,pp.162-195.
Mathematical Reviews (MathSciNet): MR80e:57008
Zentralblatt MATH: 0401.57018
[8] P. Orlik, Seifert Manifolds, Springer-VerlagLNM291,Berlin and New York, 1972.
Mathematical Reviews (MathSciNet): MR54:13950
Zentralblatt MATH: 0263.57001
[9] S. P. Plotnick, Circle actions and fundamental groups for homology A-spheres, Trans. Amer. Math. Soc,273 (1982), 393-404.
Mathematical Reviews (MathSciNet): MR83j:57025
Zentralblatt MATH: 0505.57013
[10] S. P. Plotnick, The homotopy type of four-dimensional knot complements, Math. Z , 183 (1983), 447-471.
Mathematical Reviews (MathSciNet): MR85f:57013
Zentralblatt MATH: 0516.57009
[II] S. P. Plotnick, Equivariant intersectionforms, knots in S4, and rotations in 2-spheres, Trans. Amer. Math. Soc,296 (1986),543-575.
Mathematical Reviews (MathSciNet): MR87j:57012
Zentralblatt MATH: 0608.57019
[12] C. B. Thomas, The oriented homotopy type of compact 3-manifolds, Proc. London Math. Soc, 19 (1969), 31-44.
Mathematical Reviews (MathSciNet): MR40:2088
Zentralblatt MATH: 0167.21502

2009 © Pacific Journal of Mathematics