Affiliation:
1. Mathematical Institute, Tohoku University, Sendai, 980-8578, Japan
Abstract
We define two kinds of invariants of links in closed 3-manifolds, the s-complexity(s ∈ ℕ) and the block number, by considering decompositions of links in closed orientable 3-manifolds by spines. The first one is a generalization of the complexity of links defined by Pervova and Petronio. After providing properties of these invariants, we construct special spines of strongly-cyclic coverings branched over generalized twist knots in lens spaces, including S3 and ℝP3, which provide upper bounds for the invariants.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory