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

Published 22 Feb 2025 in math.GT | (2502.16031v1)

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

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