Tropical Ptolemy Transformations and Invariants of Braids
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911006361387008 |
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| author | Singh, Gurnoor |
| author_facet | Singh, Gurnoor |
| contents | It often happens in mathematics that one and the same equation is known under different names in different areas of mathematics. The famous pentagon identity appears in low-dimensional topology in different ways. In this paper, we use the tropical version of the Ptolemy equation to construct invariants of braids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12085 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tropical Ptolemy Transformations and Invariants of Braids Singh, Gurnoor Geometric Topology Group Theory 57K20, 57K31, 57M25, 20F36 It often happens in mathematics that one and the same equation is known under different names in different areas of mathematics. The famous pentagon identity appears in low-dimensional topology in different ways. In this paper, we use the tropical version of the Ptolemy equation to construct invariants of braids. |
| title | Tropical Ptolemy Transformations and Invariants of Braids |
| topic | Geometric Topology Group Theory 57K20, 57K31, 57M25, 20F36 |
| url | https://arxiv.org/abs/2506.12085 |