Ordering Thurston's geometries by maps of non-zero degree
Geometric Topology
2019-09-09 v3 Algebraic Topology
Group Theory
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.
Keywords
Cite
@article{arxiv.1607.03058,
title = {Ordering Thurston's geometries by maps of non-zero degree},
author = {Christoforos Neofytidis},
journal= {arXiv preprint arXiv:1607.03058},
year = {2019}
}
Comments
18 pages; v2: new section added (Section 6 on Kodaira dimension); v3: minor edits; part of this paper was formerly contained in arXiv:1507.07778; to appear in Journal of Topology and Analysis