An invariant of manifold pairs and its applications

Mikiya MASUDA

doi:10.2969/jmsj/04210013

Mikiya MASUDA

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JOURNAL FREE ACCESS

1990 Volume 42 Issue 1 Pages 13-29

DOI https://doi.org/10.2969/jmsj/04210013

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Published: 1990 Received: May 23, 1988 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M.F. Atiyah and I.M. Singer, The index of elliptic operators. III, Ann. of Math., 87 (1968), 546-604.
2) G.E. Bredon, Introduction to Compact Transformation Groups, Academic Press, 46, New York, 1972.
3) A. Haefliger, Knotted (4k-1)-spheres in 6k-spaces, Ann. of Math., 75 (1962), 452-466.
4) F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer, 1966.
5) M.Kervaire and J. Milnor, Groups of homotopy spheres: I, Ann. of Math., 77 (1963), 504-537.
6) J.Levine, A classification of differentiable knots, Ann. of Math., 82 (1965), 15-50.
7) J.Levine, Semi-free circle actions on spheres, Invent. Math., 22 (1973), 161-186.
8) M. Masuda, Generators of certain groups of semi-free S¹ actions on spheres and splitting of codimension 3 knot exact sequences, Michigan Math. J., to appear.
9) M. Masuda, Smooth group actions on sphere bundles over spheres and on Brieskorn manifolds, Proc. Amer. Math. Soc., 92 (1984), 119-124.
10) M. Masuda, A product formula for connected sum, Proc. of Transformation Groups, Lecture Notes in Math., 1375, Springer, pp. 231-239.
11) M. Masuda and M. Sakuma, Knotting codimension 2 submanifolds locally, Enseign. Math., to appear.
12) M. Masuda and R. Schultz, Equivariant inertia groups and rational invariants of non-free actions, in preparation.
13) J. W. Milnor, Singular Points of Complex Hypersurfaces, Ann. of Math. Studies, 61, Princeton, 1968.
14) J. W. Milnor and J. D. Stasheff, Characteristic Classes, Ann. of Math. Studies, 76, Princeton, 1974.
15) D. Montgomery and C. T. Yang, Differentiable actions on homotopy seven spheres, Trans. Amer. Math. Soc., 122 (1966), 480-498.
16) R. Schultz, Smooth structures on S^p×S^q, Ann. of Math., 90 (1969), 187-198.
17) E. H. Spanier, Algebraic Topology, MacGraw-Hill, 1966. Mikiya MASUDA

Right : [1] M. F. Atiyah and I. M. Singer, The index of elliptic operators. III, Ann. of Math., 87 (1968), 546-604.
[2] G. E. Bredon, Introduction to Compact Transformation Groups, Academic Press, 46, New York, 1972.
[3] A. Haefliger, Knotted (4k-1)-spheres in 6k-spaces, Ann. of Math., 75 (1962), 452-466.
[4] F. Hirzebruch, Topological Methods in Algebraic Geometry, Springer, 1966.
[5] M. Kervaire and J. Milnor, Groups of homotopy spheres: I, Ann. of Math., 77 (1963), 504-537.
[6] J. Levine, A classification of differentiable knots, Ann. of Math., 82 (1965), 15-50.
[7] J. Levine, Semi-free circle actions on spheres, Invent. Math., 22 (1973), 161-186.
[8] M. Masuda, Generators of certain groups of semi-free S¹ actions on spheres and splitting of codimension 3 knot exact sequences, Michigan Math. J., to appear.
[9] M. Masuda, Smooth group actions on sphere bundles over spheres and on Brieskorn manifolds, Proc. Amer. Math. Soc., 92 (1984), 119-124.
[10] M. Masuda, A product formula for connected sum, Proc. of Transformation Groups, Lecture Notes in Math., 1375, Springer, pp. 231-239.
[11] M. Masuda and M. Sakuma, Knotting codimension 2 submanifolds locally, Enseign. Math., to appear.
[12] M. Masuda and R. Schultz, Equivariant inertia groups and rational invariants of non-free actions, in preparation.
[13] J. W. Milnor, Singular Points of Complex Hypersurfaces, Ann. of Math. Studies, 61, Princeton, 1968.
[14] J. W. Milnor and J. D. Stasheff, Characteristic Classes, Ann. of Math. Studies, 76, Princeton, 1974.
[15] D. Montgomery and C. T. Yang, Differentiable actions on homotopy seven spheres, Trans. Amer. Math. Soc., 122 (1966), 480-498.
[16] R. Schultz, Smooth structures on S^p×S^q, Ann. of Math., 90 (1969), 187-198.
[17] E. H. Spanier, Algebraic Topology, MacGraw-Hill, 1966.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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