1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.GT2026
A welded extension of 4-equivalence
Emmanuel Graff
We introduce a local move defining a welded extension of 4-equivalence. It induces the same quandle relations as 4-equivalence, giving a common algebraic framework for both the cla…
math.GT2024
Homotopy braid groups are torsion-free
Emmanuel Graff
We show that, for any number of components, the group of braids up to link-homotopy is torsion-free. This generalizes a result of Humphries up to six components, and provides an ex…
math.GT2022★ 1 cited
On braids and links up to link-homotopy
Emmanuel Graff
This paper deals with links and braids up to link-homotopy, studied from the viewpoint of Habiro's clasper calculus. More precisely, we use clasper homotopy calculus in two main di…