Gromoll groups, ${\text {Diff}} S^n$ and bilinear constructions of exotic spheres
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- by P. Antonelli, D. Burghelea and P. J. Kahn PDF
- Bull. Amer. Math. Soc. 76 (1970), 772-777
References
- J. F. Adams, On the groups $J(X)$. IV, Topology 5 (1966), 21β71. MR 198470, DOI 10.1016/0040-9383(66)90004-8
- J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603β632. MR 139178, DOI 10.2307/1970213
- Douglas R. Anderson, On homotopy spheres bounding highly connected manifolds, Trans. Amer. Math. Soc. 139 (1969), 155β161. MR 238332, DOI 10.1090/S0002-9947-1969-0238332-X
- P. L. Antonelli, On the stable diffeomorphism of homotopy spheres in the stable range, $n<2p$, Bull. Amer. Math. Soc. 75 (1969), 343β346. MR 240829, DOI 10.1090/S0002-9904-1969-12164-6
- M. G. Barratt and M. E. Mahowald, The metastable homotopy of $\textrm {O}(n)$, Bull. Amer. Math. Soc. 70 (1964), 758β760. MR 182004, DOI 10.1090/S0002-9904-1964-11229-5
- William Browder, Homotopy commutative $H$-spaces, Ann. of Math. (2) 75 (1962), 283β311. MR 150778, DOI 10.2307/1970175
- Jean Cerf, Topologie de certains espaces de plongements, Bull. Soc. Math. France 89 (1961), 227β380 (French). MR 140120
- R. De Sapio, Differential structures on a product of spheres. II, Ann. of Math. (2) 89 (1969), 305β313. MR 246307, DOI 10.2307/1970670
- Detlef Gromoll, Differenzierbare Strukturen und Metriken positiver KrΓΌmmung auf SphΓ€ren, Math. Ann. 164 (1966), 353β371 (German). MR 196754, DOI 10.1007/BF01350046
- J. R. Hubbuck, On homotopy commutative $H$-spaces, Topology 8 (1969), 119β126. MR 238316, DOI 10.1016/0040-9383(69)90004-4 11. A. Kosinski, On the inertia group of π-manifolds, Amer. J. Math. 89 (1967), 227-248. MR 35 #4936.
- Problems in differential and algebraic topology. Seattle Conference, 1963, Ann. of Math. (2) 81 (1965), 565β591. MR 182961, DOI 10.2307/1970402
- John Milnor, Differentiable structures on spheres, Amer. J. Math. 81 (1959), 962β972. MR 110107, DOI 10.2307/2372998 14. M. Mimura, On the generalized Hopf homomorphism and the higher composition. II: πn+i(Sn) for i = 21 and 22, J. Math. Kyoto Univ. 4 (1965), 301-326. MR 31 #1676.
- Mamoru Mimura and Hirosi Toda, The $(n+20)$-th homotopy groups of $n$-spheres, J. Math. Kyoto Univ. 3 (1963), 37β58. MR 157384, DOI 10.1215/kjm/1250524854
- S. P. Novikov, Homotopy properties of the group of diffeomorphisms of the sphere. , Dokl. Akad. Nauk SSSR 148 (1963), 32β35 (Russian). MR 0144356
- S. P. Novikov, Differentiable sphere bundles, Izv. Akad. Nauk SSSR Ser. Mat. 29 (1965), 71β96 (Russian). MR 0174059
- Stephen Smale, Diffeomorphisms of the $2$-sphere, Proc. Amer. Math. Soc. 10 (1959), 621β626. MR 112149, DOI 10.1090/S0002-9939-1959-0112149-8
- Hirosi Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies, No. 49, Princeton University Press, Princeton, N.J., 1962. MR 0143217
- Hirosi Toda, $p$-primary components of homotopy groups. IV. Compositions and toric constructions, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 32 (1959), 297β332. MR 111041, DOI 10.1215/kjm/1250776579
- C. T. C. Wall, Finiteness conditions for $\textrm {CW}$-complexes, Ann. of Math. (2) 81 (1965), 56β69. MR 171284, DOI 10.2307/1970382
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 772-777
- MSC (1970): Primary 5710, 5755; Secondary 5322
- DOI: https://doi.org/10.1090/S0002-9904-1970-12544-7
- MathSciNet review: 0283809