On the homology of double branched covers
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- by Ronnie Lee and Steven H. Weintraub PDF
- Proc. Amer. Math. Soc. 123 (1995), 1263-1266 Request permission
Abstract:
If $\pi :\tilde X \to X$ is a double branched cover, with branching set F, we relate ${H_ \ast }(\tilde X:{\mathbb {Z}_2}),{H_ \ast }(X:{\mathbb {Z}_2}),{H_ \ast }(X,F:{\mathbb {Z}_2})$, and ${H_\ast }(F:{\mathbb {Z}_2})$.References
- William Browder, Surgery on simply-connected manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 65, Springer-Verlag, New York-Heidelberg, 1972. MR 0358813
- Ronnie Lee and Steven H. Weintraub, The Siegel modular variety of degree two and level four: a report, Arithmetic of complex manifolds (Erlangen, 1988) Lecture Notes in Math., vol. 1399, Springer, Berlin, 1989, pp. 89–102. MR 1034258, DOI 10.1007/BFb0095970 —, The Siegel modular variety of degree two and level four (to appear).
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1263-1266
- MSC: Primary 57M12
- DOI: https://doi.org/10.1090/S0002-9939-1995-1224618-X
- MathSciNet review: 1224618