A complete invariant for doodles on a 2-sphere
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910344863023104 |
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| author | Mostovoy, Jacob |
| author_facet | Mostovoy, Jacob |
| contents | We define a complete invariant for doodles on a 2-sphere which takes values in series of chord diagrams of certain type. The coefficients at the diagrams with $n$ chords are finite type invariants of doodles of order at most $2n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09598 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A complete invariant for doodles on a 2-sphere Mostovoy, Jacob Geometric Topology 57K12, 57K16, 05C10 We define a complete invariant for doodles on a 2-sphere which takes values in series of chord diagrams of certain type. The coefficients at the diagrams with $n$ chords are finite type invariants of doodles of order at most $2n$. |
| title | A complete invariant for doodles on a 2-sphere |
| topic | Geometric Topology 57K12, 57K16, 05C10 |
| url | https://arxiv.org/abs/2401.09598 |