THE QUADRATIC LINKING DEGREE - Université de Bourgogne
Pré-Publication, Document De Travail Année : 2024

THE QUADRATIC LINKING DEGREE

Résumé

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.
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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. 2024. ⟨hal-03821736v5⟩
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