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Hyperbolic 4-manifolds over the 120-cell. (arXiv:1801.08814v1 [math.GT])

来源于:arXiv
Since there is no hyperbolic Dehn filling theorem in higher dimensions, it is difficult to construct concrete hyperbolic manifolds of small volume in dimension at least four. We build up a census of closed hyperbolic 4-manifolds of volume $\frac{34\pi^2}{3}\cdot 16$ by using small cover theory over the right-angled 120-cell. In particular, we classify all the orientable 4-dimensional small covers over the 120-cell and obtain exactly 56 many up to homeomorphism. All of them have even intersection forms. 查看全文>>