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A Seifert manifold $M$ is a $3$-dimensional orientable smooth manifold with an effective circle action with no fixed points. Closed connected Seifert manifolds are classified up to an equivariant ...

It is well known that if $F\to B$ is a $n$-finite branched covering over an orbifold with cone-points then the orbifold Euler's characteristics are related via $\chi(F)=n(\chi(B)-\sum_i^r\frac{a_i-1}{...