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

2025/02/22 by Yuan Liu, Liu, Yuan
Mathematics · #20F65 #32Q15 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2502.16031

openalex publication_date 2025/02/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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