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Connected sum along the cycle operation of \(S^ p \times S^{n-p}\) on \(\pi\)-manifolds. (English) Zbl 0505.57010

MSC:

57R50 Differential topological aspects of diffeomorphisms
57R60 Homotopy spheres, Poincaré conjecture
57R95 Realizing cycles by submanifolds
57R55 Differentiable structures in differential topology
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[1] F. Bando and K. Katase: A remark on the ^-imbedding of homotopy spheres. Proc. Japan Acad., 45, 443-445 (1969). · Zbl 0189.24002 · doi:10.3792/pja/1195520720
[2] W. C. Hsiang, J. Levine, and R. H. Szczarba: On the normal bundle of a homotopy sphere embedded in euclidean space. Topology, 3, 173-181 (1965). · Zbl 0127.13702 · doi:10.1016/0040-9383(65)90041-8
[3] K. Katase: ^-imbeddings of homotopy spheres. Proc. Japan Acad., 44, 573-575 (1968). · Zbl 0189.24001 · doi:10.3792/pja/1195521068
[4] K. Kawakubo: On the inertia groups of homology tori. J. Math. Soc. Japan, 21, 37-47 (1969). · Zbl 0176.21502 · doi:10.2969/jmsj/02110037
[5] J. Levine: A classification of differentiate knots. Ann. of Math., 82, 15- 50 (1965). · Zbl 0136.21102 · doi:10.2307/1970561
[6] S. P. Novikov: Homotopically equivalent smooth manifolds I. Izv. Acad. Nauk. SSSR., Ser. Math., 28, 365-474 (1964); Amer. Math. Soc. Transl., 48(2), 271-396 (1965) (Eng. transl.). · Zbl 0151.32103
[7] De Sapio: Differential structures on a product of spheres. Comment. Math. Helv., 44, 61-69 (1969). · Zbl 0162.55303 · doi:10.1007/BF02564512
[8] De Sapio: Differential structures on a product of spheres II. Ann. of Math., 89, 305-313 (1969). JSTOR: · Zbl 0204.56701 · doi:10.2307/1970670
[9] R. Schultz: On the inertia group of a product of spheres. Trans. Amer. Math. Soc, 156, 137-153 (1971). · Zbl 0216.45401 · doi:10.2307/1995604
[10] S. Smale: On the structures of manifolds. Amer. J. Math., 84, 378-399 (1962). JSTOR: · Zbl 0109.41103 · doi:10.2307/2372978
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