Lifting surgeries to branched covering spaces
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- by Hugh M. Hilden and José María Montesinos PDF
- Trans. Amer. Math. Soc. 259 (1980), 157-165 Request permission
Abstract:
It is proved that if ${M^n}$ is a branched covering of a sphere, branched over a manifold, so is ${M^n} \times {S^m}$, but the number of sheets is one more. In particular, the n-dimensional torus is an n-fold simple covering of ${S^n}$ branched over an orientable manifold. The proof involves the development of a new technique to perform equivariant handle addition. Other consequences of this technique are given.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 259 (1980), 157-165
- MSC: Primary 57M12; Secondary 57Q99
- DOI: https://doi.org/10.1090/S0002-9947-1980-0561830-0
- MathSciNet review: 561830