Definition of the cord algebra of knots using Morse Theory
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866929552277635072 |
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| author | Petrak, Andreas |
| author_facet | Petrak, Andreas |
| contents | We redefine the cord algebra, which was introduced by Lenhard Ng as a topological knot invariant, in terms of Morse Theory. The determination of the cord algebra of the unknot and of the righthanded trefoil are given. We proove that the cord algebra in our definition is a knot invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_12714 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Definition of the cord algebra of knots using Morse Theory Petrak, Andreas Symplectic Geometry Geometric Topology We redefine the cord algebra, which was introduced by Lenhard Ng as a topological knot invariant, in terms of Morse Theory. The determination of the cord algebra of the unknot and of the righthanded trefoil are given. We proove that the cord algebra in our definition is a knot invariant. |
| title | Definition of the cord algebra of knots using Morse Theory |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/1904.12714 |