References
[AS] Ambrose, W., Singer, I.M.: A theorem on holonomy. Trans Am. Math. Soc.75, 428–443 (1953)
[AHS] Atiyah, M.F., Hitchin, N.J., Singer, I.M.: Self-duality in 4-dimensional Riemannian geometry. Proc. R. Soc. Lond., Ser. A362, 425–461 (1978)
[B] Bredon, G.: Introduction to compact transformation groups. New York: Academic Press 1972
[CG] Casson, A., Gordon, C.McA.: Cobordism of classical knots, mimeographed notes. Orsay: 1975 (unpublished)
[CH] Casson, A., Harer, J.: Some homology lens spaces which bound rational homology balls. Pac. J. Math.96, 23–36 (1981)
[FS] Fintushel, R., Stern, R.: Pseudofree orbifolds Ann. Math.122, 335–364 (1985)
[FU] Freed, D., Uhlenbeck, K.: Instantons and four-manifolds. MSRI series, vol. 1 Berlin-Heidelberg-New York: Springer 1984
[HM] Hirzebruch, F., Mayer, K.:O (n)-Mannigfaltigkeiten. Exotische Sphären und Singularitäten. Lecture Notes in Math., vol. 57. Berlin-Heidelberg-New York: Springer 1968.
[L] Lawson, H.B., Jr.: The theory of gauge fields in 4-dimensions. C.B.M.S. Regional Conf. Series, 58 (1985)
[TL] Lawson, T.: Invariants for families of Brieskorn varieties. (to appear in Proc. Am. Math. Soc.)
[M] Massey, W.S.: Proof of a conjecture of Whitney. Pac. J. Math.31, 143–156 (1969)
[MY] Montgomery, D., Yang, C.T.: Differentiable pseudo-free circle actions on homotopy seven spheres. Proc. Second Conf. on Compact Trans. Gps., 1971, Lecture Notes in Math., vol. 298, pp. 41–101, Berlin-Heidelberg-New York: Springer
[P] Petrie, T.: Equivariant quasi-equivalence, transversality, and normal cobordism. Proc. Int. Cong. Math., Vancouver, 1974, pp. 537–541
[Sch] Schbert, H.: Knoten mit zwei Brücken. Math. Z.65, 133–170 (1956)
[S] Seifert, H.: Topologie dreidimensionaler gefaserter Räume. Acta Math.60, 147–238 (1932)
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Partially supported by National Science Foundation Grant DMS8501789
Partially supported by National Science Foundation Grant DMS8402214
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Fintushel, R., Stern, R.J. O(2) actions on the 5-sphere. Invent Math 87, 457–476 (1987). https://doi.org/10.1007/BF01389237
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DOI: https://doi.org/10.1007/BF01389237