Branched coverings and nonzero degree maps between Seifert manifolds

Huang, Hong

doi:10.1090/S0002-9939-02-06306-2

Branched coverings and nonzero degree maps between Seifert manifolds
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Proc. Amer. Math. Soc. 130 (2002), 2443-2449 Request permission

Abstract:

In this note we give a necessary and sufficient condition for the existence of a fiber preserving branched covering between two closed, orientable Seifert manifolds (for sufficiency we need the additional assumption that the genus of the base orbifold of the target manifold $\geq 1$). Combining this with two theorems of Rong we get a necessary and sufficient condition for the existence of a nonzero degree map between two such manifolds.

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