On the signature of a positive braid
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866914197660499968 |
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| author | Greene, Joshua Evan Liechti, Livio |
| author_facet | Greene, Joshua Evan Liechti, Livio |
| contents | We show that the signature of a positive braid link is bounded from below by one-quarter of its first Betti number. This equates to one-half of the optimal bound conjectured by Feller, who previously provided a bound of one-eighth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_02275 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the signature of a positive braid Greene, Joshua Evan Liechti, Livio Geometric Topology 57K10 We show that the signature of a positive braid link is bounded from below by one-quarter of its first Betti number. This equates to one-half of the optimal bound conjectured by Feller, who previously provided a bound of one-eighth. |
| title | On the signature of a positive braid |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2308.02275 |