%0 Unpublished work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