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

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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