Lizhi Chen

activity

20142026

most citedCovering Trick and Embolic Volume

1 citations · 1 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.GT2026

Topological Complexity and Finite Domination

Lizhi Chen

Let $M$ be a closed, connected, smooth $n$ -dimensional manifold. We prove that $M$ is dominated by the underlying space of the $n$ -skeleton of a finite simplicial complex. Furtherm…

math.GT2021

Triangulation complexity and systolic volume of hyperbolic manifolds

Lizhi Chen

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 volum…

math.GT2015

Systolic volume and complexity of 3-manifolds

Lizhi Chen

In this paper, we prove that the systolic volume of a closed aspherical 3-manifold is bounded below in terms of complexity. Systolic volume is defined as the optimal constant in a…