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Hyperbolic 3-manifolds with large kissing number
Published 4 Mar 2020 in math.GT, math.MG, and math.NT | (2003.01863v2)
Abstract: In this article we construct a sequence ${M_i}$ of non compact finite volume hyperbolic $3$-manifolds whose kissing number grows at least as $\mathrm{vol}(M_i){\frac{31}{27}-\epsilon}$ for any $\epsilon>0$. This extends a previous result due to Schmutz in dimension $2$.
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