Graph manifolds have virtually positive Seifert volume - Mathematics > Geometric TopologyReport as inadecuate




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Abstract: This paper shows that the Seifert volume of each closed non-trivial graphmanifold is virtually positive.As a consequence, for each closed orientable prime 3-manifold $N$, the set ofmapping degrees $\c{D}M,N$ is finite for any 3-manifold $M$, unless $N$ isfinitely covered by either a torus bundle, or a trivial circle bundle, or the3-sphere.



Author: Pierre Derbez, Shicheng Wang

Source: https://arxiv.org/







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