Expository introduction to arithmetic manifolds that details answers for systole and kissing number questions in 2D hyperbolic manifolds while summarizing higher-dimensional cases and posing open questions.
Parlier, Kissing numbers for surfaces, Journal of Topology 6 (2013), no
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On Systole, Kissing Number and Volume of Arithmetic Manifolds
Expository introduction to arithmetic manifolds that details answers for systole and kissing number questions in 2D hyperbolic manifolds while summarizing higher-dimensional cases and posing open questions.