Triangulation complexity and systolic volume of hyperbolic manifolds
classification
🧮 math.GT
keywords
volumesystolichyperboliccomplexitymanifoldsrelatedsimplicialtriangulation
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Let $M$ be a closed $n$-manifold with nonzero simplicial volume. A central result in systolic geometry from Gromov is that systolic volume of $M$ is related to its simplicial volume. In this short note, we show that systolic volume of hyperbolic manifolds is related to triangulation complexity. The proof is based on J{\o}rgensen and Thurston's theorem of hyperbolic volume.
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