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Hyperbolic four-manifolds, colourings an...
Kolpakov, Alexander...

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Hyperbolic four-manifolds, colourings and mutations by Kolpakov, Alexander ( Author )
Lemonjar Open Access
N.A
09-07-2015
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a Coxeter polytope P⊂H4 that has a facet colouring. We also develop a way of finding totally geodesic sub-manifolds N in M, and describing the result of mutations along N. As an application of our method, we construct an example of a complete orientable hyperbolic 4-manifold X with a single non-toric cusp and a complete orientable hyperbolic 4-manifold Y with a single toric cusp. Both X and Y have twice the minimal volume among all complete orientable hyperbolic 4-manifolds.
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English
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MYR 0.00
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https://arxiv.org/abs/1507.02747
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