Systoles of hyperbolic hybrids

Published 27 Sep 2023 in math.GR, math.GT, and math.NT | (2309.16051v1)

Abstract: We exhibit closed hyperbolic manifolds with arbitrarily small systole in each dimension that are not quasi-arithmetic in the sense of Vinberg, and are thus not commensurable to those constructed by Agol, Belolipetsky--Thomson, and Bergeron--Haglund--Wise. This is done by taking hybrids of the manifolds constructed by the latter authors.

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Authors (1)

Sami Douba

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