%0 Unpublished work %T THE QUADRATIC LINKING DEGREE %+ Institut de Mathématiques de Bourgogne [Dijon] (IMB) %A Lemarié--Rieusset, Clémentine %8 2022-12-15 %D 2022 %Z 2210.11048 %K Motivic homotopy theory %K Knot theory %K Links %K Witt groups %K Milnor-Witt K-theory %Z Mathematics [math]/Algebraic Geometry [math.AG] %Z Mathematics [math]/Geometric Topology [math.GT]Preprints, Working Papers, ... %X 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. %G English %2 https://u-bourgogne.hal.science/hal-03821736v2/document %2 https://u-bourgogne.hal.science/hal-03821736v2/file/The%20quadratic%20linking%20degree.pdf %L hal-03821736 %U https://u-bourgogne.hal.science/hal-03821736