Tangle contact homology
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910649668337664 |
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| author | Asplund, Johan |
| author_facet | Asplund, Johan |
| contents | Knot contact homology is an ambient isotopy invariant of knots and links in $\mathbb R^3$. The purpose of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove that gluing of tangles gives a gluing formula for knot contact homology. As a consequence of the gluing formula we obtain that the tangle contact homology detects triviality of tangles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_03036 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Tangle contact homology Asplund, Johan Symplectic Geometry Geometric Topology 53D35, 53D40, 53D42, 57K10 Knot contact homology is an ambient isotopy invariant of knots and links in $\mathbb R^3$. The purpose of this paper is to extend this definition to an ambient isotopy invariant of tangles and prove that gluing of tangles gives a gluing formula for knot contact homology. As a consequence of the gluing formula we obtain that the tangle contact homology detects triviality of tangles. |
| title | Tangle contact homology |
| topic | Symplectic Geometry Geometric Topology 53D35, 53D40, 53D42, 57K10 |
| url | https://arxiv.org/abs/2210.03036 |