J. G. Chen

activity

20232026

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3 papers · 1 filter

math.GT2025

Some closed hyperbolic 5-manifolds

Jacopo G. Chen

We give an explicit construction of a family of closed arithmetic hyperbolic 5-manifolds, tessellated by $117964800 = 512 \cdot 16 \cdot 14400$ copies of a Coxeter simplicial pri…

math.GT2025

Closed hyperbolic manifolds without $spin^{c}$ structures

Jacopo G. Chen

In all dimensions $n \geq 5$ , we prove the existence of closed orientable hyperbolic manifolds that do not admit any $spin^{c}$ structure, and in fact we show that there are in…

math.GT2025

Non-cobordant hyperbolic manifolds

Jacopo G. Chen

In all dimensions $n \geq 4$ not of the form $4 m + 3$ , we show that there exists a closed hyperbolic $n$ -manifold which is not the boundary of a compact $(n + 1)$ -manifold. The proof re…

Some closed hyperbolic 5-manifolds

Closed hyperbolic manifolds without spinc structures

Non-cobordant hyperbolic manifolds

Closed hyperbolic manifolds without $spin^{c}$ structures