Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Non-cobordant hyperbolic manifolds

Jacopo Guoyi Chen

created by sarti on 17 Feb 2025
modified on 23 Apr 2025

29 apr 2025 -- 14:30

aula Riunioni - Dipartimento di Matematica, Pisa

Abstract.

In all dimensions n ≥ 4 not of the form 4m+3, we show that there exists a closed hyperbolic n-manifold which is not the boundary of a compact (n+1)-manifold. The proof relies on the relationship between the cobordism class and the fixed point set of an involution on the manifold, together with a geodesic embedding of Kolpakov, Reid and Slavich. We also outline a possible approach to cover the dimensions 4m+3 ≠ 2k−1.

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