Uniform Waist Inequalities in Codimension Two for Manifolds with Kazhdan Fundamental Group
Abstract:
Let M be a closed Riemannian manifold with Kazhdan fundamental group. It is well known that the Buser-Cheeger inequality yields a uniform waist inequality in codimension 1 for the finite covers of M , which is basically another way of saying that the finite covers form an expander family. We show that the finite covers of M also satisfy a uniform waist inequality in codimension 2.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsjahr | 2026 |
| Sprache | Englisch |
| Identifikator | ISSN: 1016-443X, 1420-8970 KITopen-ID: 1000196715 |
| Erschienen in | Geometric and Functional Analysis |
| Verlag | Springer |
| Vorab online veröffentlicht am | 26.08.2026 |
| Nachgewiesen in | OpenAlex |