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Invariants of 3-manifolds
Author(s):
Sylvain E.
Cappell;
Julius L.
Shaneson
Journal:
Bull. Amer. Math. Soc.
81
(1975),
Part 1:559-562.
MSC (1970):
Primary 55A99, 55A10, 55A25, 55A40;
Secondary 57D65
MathSciNet review:
0367967
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References |
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Additional information
References:
- 1.
- J. W. Alexander, Note on Riemann spaces, Bull. Amer. Math. Soc. 26 (1919), 370-372.
- 2.
- C. Bankwitz and H. G. Schumann, Über Viergeflechte, Abh. Math. Sem. Univ. Hamburg 70 (1934), 263-284.
- 3.
- S. E. Cappell and J. L. Shaneson, Cyclic branched covering spaces Ann. of Math. Studies (Memorial Volume in honor of R. Fox).
- 4.
- A. H. Clifford, On the canonical form and dissection of a Riemann's surface, Proc. London Math. Soc. 8 (1877), 292-304.
- 5.
- R. H. Fox, A quick trip through knot theory, Topology of 3-Manifolds and Related Topics (Proc. Univ. of Georgia Inst., 1961), Prentice-Hall, Englewood Cliffs, N. J., 1962, pp. 120-167. MR 25 #3522. MR 140099
- 6.
- R. H. Fox, Construction of simply connected 3-manifolds, Topology of 3-Manifolds and Related Topics (Proc. Univ. of Georgia Inst., 1961), Prentice-Hall, Englewood Cliffs, N. J., 1962, pp. 213-216. MR 25 #3539. MR 140116
- 7.
- H. Hilden, Every closed orientable 3-manifold is a 3-fold branched covering space of S3, Bull. Amer. Math. Soc. 80 (1974), 1243-1244. MR 350719
- 8.
- F. Hirzebruch, W. P. Newmann and S. S. Koh, Differentiate manifolds and quadratic forms, Dekker, 1971.
- 9.
- M. Montesinos, A representation of closed, orientable 3-manifolds as3, Bull. Amer. Math. Soc. 80 (1974), 845-846. MR 358784
- 10.
- K. Perko, On dihedral covering spaces of knots (to appear). MR 410723
- 11.
- K. Perko, Unpublished tables available upon request to the author, 1 Chase Manhattan Plaza, New York, N. Y.
- 12.
- K. Reidemeister, Knoten Theorie, Springer-Verlag, 1932.
- 13.
- V. A. Rohlin, New results in the theory of four-dimensional manifolds, Dokl. Akad. Nauk SSSR 84 (1952), 221-224. (Russian) MR 14, 573. MR 52101
- 14.
- J. L. Shaneson, Wall's surgery obstruction groups for G X Z, Ann of Math. (2) 90 (1969), 296-334. MR 39 #7614. MR 246310
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13737-2
PII:
S 0002-9904(1975)13737-2
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