Some hyperbolic 4-manifolds with low volume and number of cusps

Leone Slavich

doi:10.1016/j.topol.2015.05.004

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arXiv · 1402.2580

Some hyperbolic 4-manifolds with low volume and number of cusps

Leone Slavich

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Abstract

We construct here two new examples of non-orientable, non-compact, hyperbolic 4-manifolds. The first has minimal volume $v_m = 4{\pi}^2/3$ and two cusps. This example has the lowest number of cusps among known minimal volume hyperbolic 4-manifolds. The second has volume $2\cdot v_m$ and one cusp. It has lowest volume among known one-cusped hyperbolic 4-manifolds.

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Leone Slavich. 2014-02-11. Some hyperbolic 4-manifolds with low volume and number of cusps. https://doi.org/10.1016/j.topol.2015.05.004

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