pith. sign in

arxiv: 2109.09194 · v2 · pith:LRDYQCD4new · submitted 2021-09-19 · 🧮 math.GT

Triangulation complexity and systolic volume of hyperbolic manifolds

classification 🧮 math.GT
keywords volumesystolichyperboliccomplexitymanifoldsrelatedsimplicialtriangulation
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.