Splitting obstructions for Hermitian forms and manifolds with $Z_2 \subset \pi _1$
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- by Sylvain E. Cappell PDF
- Bull. Amer. Math. Soc. 79 (1973), 909-913
References
- William Browder, Manifolds with $\pi _{1}=Z$, Bull. Amer. Math. Soc. 72 (1966), 238β244. MR 190940, DOI 10.1090/S0002-9904-1966-11482-9
- Sylvain Cappell, A splitting theorem for manifolds and surgery groups, Bull. Amer. Math. Soc. 77 (1971), 281β286. MR 285010, DOI 10.1090/S0002-9904-1971-12720-9
- Sylvain E. Cappell, Mayer-Vietoris sequences in hermitian $K$-theory, Algebraic $K$-theory, III: Hermitian $K$-theory and geometric applications (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 343, Springer, Berlin, 1973, pp.Β 478β512. MR 0358814
- Sylvain E. Cappell, A splitting theorem for manifolds, Invent. Math. 33 (1976), no.Β 2, 69β170. MR 438359, DOI 10.1007/BF01402340 [C4] S. E. Cappell, The unitary nilpotent category and Hermitian K-theory (to appear). [L] R. Lee, Splitting a manifold into two parts, Inst. Advanced Study Mimeographed Notes, Princeton, N. J., 1969.
- A. S. MiΕ‘Δenko, Homotopy invariants of multiply connected manifolds. II. Simple homotopy type, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 655β666 (Russian). MR 0293657
- C. T. C. Wall, Surgery on compact manifolds, London Mathematical Society Monographs, No. 1, Academic Press, London-New York, 1970. MR 0431216
Additional Information
- Journal: Bull. Amer. Math. Soc. 79 (1973), 909-913
- MSC (1970): Primary 57A35, 57C35, 57D40, 57D65, 16A54, 18F25; Secondary 55D10, 20H25
- DOI: https://doi.org/10.1090/S0002-9904-1973-13255-0
- MathSciNet review: 0339225