The applications of Bieri-Neumann-Strebel invariant on Kähler groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912752652517376 |
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| author | Liu, Yuan |
| author_facet | Liu, Yuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The applications of Bieri-Neumann-Strebel invariant on Kähler groups Liu, Yuan Geometric Topology 20F65, 32Q15 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. |
| title | The applications of Bieri-Neumann-Strebel invariant on Kähler groups |
| topic | Geometric Topology 20F65, 32Q15 |
| url | https://arxiv.org/abs/2502.16031 |