2016/08/20 by Gahye Jeong, Jeong, Gahye
Computer Science · Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GT
paper · pdf · doi:10.48550/arxiv.1608.05781
13 pages, 3 figures
arxiv created 2016/08/20 · openalex publication_date 2016/08/20 · arxiv updated 2016/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define a family of link concordance invariants \ sn \n=2,3, ⋯. These link concordance invariants give lower bounds on the slice genus of a link L. We compute the slice genus of positive links. Moreover, these invariants give lower bounds on the link splitting number of a link. Especially, this new lower bound determines the splitting number of positive torus links. This is a generalization of Lobb's knot concordance invariants \ sn \, obtained from Gornik's spectral sequence.