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Involutions on homotopy spheres. (English) Zbl 0276.57017


MSC:

57R60 Homotopy spheres, Poincaré conjecture
57R90 Other types of cobordism
57S25 Groups acting on specific manifolds
55M35 Finite groups of transformations in algebraic topology (including Smith theory)
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References:

[1] Alexander, J. P., Hamrick, G. C., Vick, J. W.: Cobordism of manifolds with odd order normal bundle. Inventiones math. (to appear) · Zbl 0276.57016
[2] Alexander, J. P., Hamrick, G. C., Vick, J. W.: A construction for involutions on homotopy spheres. Proc. of Topology Conference, (Blacksburg. Virginia, 1973). Lecture Notes in Mathematics, Berlin-Heidelberg-New York: Springer (to appear) · Zbl 0291.57021
[3] Bredon, G. E.: Exotic actions on spheres. Proc. Conf. on Transformation Groups (New Orleans, La., 1967), pp. 47-76 New York: Springer 1968
[4] Browder, W.: The Kervaire invariant of framed manifolds and its generalization. Ann. of Math.90, 157-186 (1969) · Zbl 0198.28501 · doi:10.2307/1970686
[5] Browder, W., Petrie, T.: Diffeomorphisms of manifolds and semifree actions on homotopy spheres. Bull. Amer. Math. Soc.77, 160-163 (1971). · Zbl 0215.52502 · doi:10.1090/S0002-9904-1971-12646-0
[6] Brumfield, G.: On the homotopy groups of BPL and PL/0. II. Topology8, 305-311 (1969) · Zbl 0179.28601 · doi:10.1016/0040-9383(69)90017-2
[7] Haefliger, A.: Plongements différentiables de variétés dans variétés. Comm. Math. Helv.36, 47-82 (1961) · Zbl 0102.38603 · doi:10.1007/BF02566892
[8] Jones, B. W.: The Arithmetic Theory of Quadratic Forms. Carus Mathematical Monographs, no. 10. New York: Wiley 1950 · Zbl 0041.17505
[9] Jones, L.: A converse to the fixed point theorem of P. A. Smith: I. Ann. of Math.94, 52-68 (1971) · Zbl 0229.55006 · doi:10.2307/1970734
[10] Kervaire, M. A., Milnor, J. W.: Groups of homotopy spheres I. Ann. of Math.77, 504-537 (1963) · Zbl 0115.40505 · doi:10.2307/1970128
[11] Serre, J.-P.: Groupes d’homotopie et classes de groupes abeliens. Ann. of Math.58, 258-294 (1953) · Zbl 0052.19303 · doi:10.2307/1969789
[12] Sullivan, D.: Geometric Topology, part. I: Localization, Periodicity and Galois Symmetry. Mineographed notes, MIT, Cambridge, Mass., 1970
[13] Bredon, G. E.: Introduction to Compact Transformation Groups. New York: Academic Press 1971 · Zbl 0246.57017
[14] Lynch, P.: Ph. D. Thesis, Brandeis University, 1972
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