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arxiv: 1712.06470 · v1 · pith:A53URBOWnew · submitted 2017-12-18 · 🧮 math.GT

Nonarithmetic hyperbolic manifolds and trace rings

classification 🧮 math.GT
keywords manifoldsnonarithmeticbelolipetsky-thomsonconditionconstructconstructionestimateexamples
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We give a sufficient condition on the hyperplanes used in the inbreeding construction of Belolipetsky-Thomson to obtain nonarithmetic manifolds. We construct explicitly infinitely many examples of such manifolds that are pairwise non-commensurable and estimate their volume.

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