Cabling and filtrations on the knot concordance group (Arunima Ray, Bonn)

14.12.2017 14:15

The solvable and bipolar filtrations give a framework for understanding the knot concordance group. We introduce these filtrations, and describe the effect of cabling on them. In particular, let F_n denote the set of n-solvable knots; we give examples of knots K in F_n such that the set of (p,1) cables, where p is any natural number, is linearly independent in F_n/F_{n+1}. This gives an infinite rank summand of F_n whose image in F_n/F_{n+1} is an infinite rank subgroup. This is joint work with Christopher Davis and JungHwan Park.


Room 17, Séminaire de Topologie et Géométrie

Organisé par

Section de mathématiques


Arunima Ray, Bonn

entrée libre


Catégorie: Séminaire