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The homology $ 3$-spheres with involutions


Authors: Wu Chung Hsiang and Peter Sie Pao
Journal: Proc. Amer. Math. Soc. 75 (1979), 308-310
MSC: Primary 57S25; Secondary 57R99
DOI: https://doi.org/10.1090/S0002-9939-1979-0532156-3
MathSciNet review: 532156
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Abstract: Let $ \Sigma $ be a homology 3-sphere which supports an orientation reversing involution. Then $ \mu (\Sigma ) = 0$.


References [Enhancements On Off] (What's this?)

  • [1] G. Bredon, Introduction to compact transformation groups, Academic Press, New York, 1972. MR 0413144 (54:1265)
  • [2] W. Browder, Surgery on simply-connected manifolds, Springer, Berlin, 1972. MR 0358813 (50:11272)
  • [3] R. Kirby, Problems in low dimensional manifold theory, Proc. Sympos. Pure Math., vol. 32, Part 2, Amer. Math. Soc., Providence, R. I., 1976, pp. 273-312. MR 520548 (80g:57002)
  • [4] S. P. Novikov, Homotopy equivalent smooth manifolds. I, Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), 365-474; English transl., Amer. Math. Soc. Transl. 70 (1968), 172-179. MR 0162246 (28:5445)
  • [5] R. Schultz, Smooth actions of small groups on exotic spheres, Proc. Sympos. Pure Math., vol. 32, Part 1, Amer. Math. Soc., Providence, R. I., 1978, pp. 155-160. MR 520503 (80e:57053)
  • [6] C. T. C. Wall, Surgery on compact manifolds, Academic Press, New York, 1970. MR 0431216 (55:4217)

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DOI: https://doi.org/10.1090/S0002-9939-1979-0532156-3
Article copyright: © Copyright 1979 American Mathematical Society

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