A new class of affine $K(π,1)$ arrangements
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915644761440256 |
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| author | Goldman, Katherine Huang, Jingyin |
| author_facet | Goldman, Katherine Huang, Jingyin |
| contents | We show that a certain class of affine hyperplane arrangements are $K(π,1)$ by endowing their Falk complexes with an injective metric. This gives new examples of infinite $K(π,1)$ arrangements in dimension $n>2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_00318 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new class of affine $K(π,1)$ arrangements Goldman, Katherine Huang, Jingyin Group Theory Combinatorics Geometric Topology Metric Geometry 20F65 (Primary) 20F36, 32S22, 52C35 (Secondary) We show that a certain class of affine hyperplane arrangements are $K(π,1)$ by endowing their Falk complexes with an injective metric. This gives new examples of infinite $K(π,1)$ arrangements in dimension $n>2$. |
| title | A new class of affine $K(π,1)$ arrangements |
| topic | Group Theory Combinatorics Geometric Topology Metric Geometry 20F65 (Primary) 20F36, 32S22, 52C35 (Secondary) |
| url | https://arxiv.org/abs/2512.00318 |