THE QUADRATIC LINKING DEGREE - Université de Bourgogne
Pré-Publication, Document De Travail Année : 2023

THE QUADRATIC LINKING DEGREE

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)
hal-03821736 , version 3 (27-01-2023)
hal-03821736 , version 4 (25-01-2024)
hal-03821736 , version 5 (27-03-2024)

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Clémentine Lemarié--Rieusset. THE QUADRATIC LINKING DEGREE. 2023. ⟨hal-03821736v3⟩
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