The quadratic linking degree
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.
Institutions
- Centre National de la Recherche Scientifique (FR)
- Institut de Mathématiques de Bourgogne (FR)
- University of Duisburg-Essen (DE)
Publication Details
- Journal
- Annales de l’institut Fourier
- Published
- 2026-03-26
- DOI
- https://doi.org/10.5802/aif.3776
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00