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THE QUADRATIC LINKING DEGREE

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Résumé

By using motivic homotopy theory, we introduce an analogue in algebraic geometry of oriented links and their linking numbers. After constructing the 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.
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Dates et versions

hal-03821736 , version 1 (19-10-2022)
hal-03821736 , version 2 (15-12-2022)

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Clémentine Lemarié--Rieusset. THE QUADRATIC LINKING DEGREE. 2022. ⟨hal-03821736v2⟩
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