Ordering Thurston's geometries by maps of non-zero degree

Christoforos Neofytidis

doi:10.1142/s1793525318500280

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arXiv · 1607.03058

Ordering Thurston's geometries by maps of non-zero degree

Christoforos Neofytidis

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Abstract

We obtain an ordering of closed aspherical 4-manifolds that carry a non-hyperbolic Thurston geometry. As application, we derive that the Kodaira dimension of geometric 4-manifolds is monotone with respect to the existence of maps of non-zero degree.

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Christoforos Neofytidis. 2017-05-31. Ordering Thurston's geometries by maps of non-zero degree. https://doi.org/10.1142/s1793525318500280

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