The quadratic linking degree
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913973450833920 |
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| author | Lemarié--Rieusset, Clémentine |
| author_facet | Lemarié--Rieusset, Clémentine |
| contents | By using motivic homotopy theory, we introduce a counterpart in algebraic geometry to oriented links and their linking numbers. After constructing the (ambient) quadratic linking degree -- our analogue of the linking number which takes values in the Witt group of the ground field -- and exploring some of its properties, we give a method to explicitly compute it. We illustrate this method on a family of examples which are analogues of torus links, in particular of the Hopf and Solomon links. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_11048 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The quadratic linking degree Lemarié--Rieusset, Clémentine Algebraic Geometry Geometric Topology 14F42, 57K10 (Primary) 11E81, 14C25, 19E15 (Secondary) By using motivic homotopy theory, we introduce a counterpart in algebraic geometry to oriented links and their linking numbers. After constructing the (ambient) quadratic linking degree -- our analogue of the linking number which takes values in the Witt group of the ground field -- and exploring some of its properties, we give a method to explicitly compute it. We illustrate this method on a family of examples which are analogues of torus links, in particular of the Hopf and Solomon links. |
| title | The quadratic linking degree |
| topic | Algebraic Geometry Geometric Topology 14F42, 57K10 (Primary) 11E81, 14C25, 19E15 (Secondary) |
| url | https://arxiv.org/abs/2210.11048 |