The applications of Bieri–Neumann–Strebel invariant on Kähler groups

We give several applications of the Bieri–Neumann–Strebel invariant on Kähler groups. Specifically, we provide a simpler proof of the Napier–Ramachandran theorem on the HNN decomposition of Kähler groups and show that amenable Kähler groups have an empty complement of the BNS invariant.

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Publication Details

Journal
Comptes Rendus Mathématique
Published
2025-12-04
DOI
https://doi.org/10.5802/crmath.811
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
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article

The applications of Bieri–Neumann–Strebel invariant on Kähler groups

Yuan Liu
Comptes Rendus Mathématique
Geometry and complex manifolds
article

The applications of Bieri–Neumann–Strebel invariant on Kähler groups

Yuan Liu
article en

Abstract

We give several applications of the Bieri–Neumann–Strebel invariant on Kähler groups. Specifically, we provide a simpler proof of the Napier–Ramachandran theorem on the HNN decomposition of Kähler groups and show that amenable Kähler groups have an empty complement of the BNS invariant.

Comptes Rendus MathématiqueVol. 364(G1)
University of Hong Kong (HK)
Openalex Percentile: Top 15%
Geometry and complex manifolds
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The applications of Bieri–Neumann–Strebel invariant on Kähler groups — Yuan Liu · Comptes Rendus Mathématique (2025) | TGRS Research Map | TGRS