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Exotic knottings of surfaces in the 4-sphere
Author(s):
S. M.
Finashin;
M.
Kreck;
O. Ya.
Viro
Journal:
Bull. Amer. Math. Soc.
17
(1987),
287-290.
MSC (1985):
Primary 57Q45, 57R55, 57N35;
Secondary 57M25, 57M12
MathSciNet review:
903734
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References:
- [BPV] W. Barth, C. Peters and A. van de Ven, Compact complex surfaces, Ergeb. Math. Grenzgeb, vol. 4, Springer Verlag, 1984. MR 749574
- [Do] I. Dolgachev, Algebraic surfaces with q = p = 0, Algebraic Surfaces, Liguori, Napoli, 1981, pp. 97-215.
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- [D2] S. Donaldson, Irrationality and the h-cobordism conjecture, preprint, 1986. MR 892034
- [Fi] S. M. Finashin, Topology of the complement of a real algebraic curve in CP2, Zap. Nauchn. Sem. LOMI 122 (1982), 137-145. MR 661473
- [F1] M. H. Freedman, The topology of 4-manifolds, J. Differential Geom. 72 (1982), 357-453. MR 679066
- [F2] M. H. Freedman, The disk theorem for 4-manifolds, Proc. Internat. Congr. Math. (Warsaw, 1983), PWN, Warsaw, 1984, pp. 647-663. MR 804721
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- [K] N. Kuiper, The quotient space of CP2 by complex conjugation is the 4-sphere, Math. Ann. 208 (1974), 175-177. MR 346817
- [L] T. Lawson, Detecting the standard embedding of RP2 in S4, Math. Ann. 267 (1984), 439-448. MR 742889
- [M] W. M. Massey, The quotient space of the complex projective plane under conjugation is a 4-sphere, Geom. Dedicata 2 (1973), 371-374. MR 341511
- [Mo] J. M. Montesinos, Surgery on links and double branched covers of S3, Ann. of Math. Studies, No. 84, Princeton Univ. Press, Princeton, N.J., 1975, pp. 227-259. MR 380802
- [OV] C. Okonek and A. van de Ven, Stable bundles and differentiable structures on certain elliptic surfaces, Invent. Math 86 (1986), 357-370. MR 856849
- [V] O. Viro, Two-sheeted branched coverings of the 3 -sphere, Zap. Nauchn. Sem. LOMI 36 (1973), 6-39; English transl. in J. Soviet Math. 8:5 (1977), 531-553. MR 345091
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Additional Information:
DOI:
10.1090/S0273-0979-1987-15562-5
PII:
S 0273-0979(1987)15562-5
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