Links and spines

Yuya Koda

Research output: Contribution to journalArticlepeer-review

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 S 3 and ℝP 3, which provide upper bounds for the invariants.

Original languageEnglish
Article number1250027
JournalJournal of Knot Theory and its Ramifications
Volume21
Issue number3
DOIs
Publication statusPublished - 2012 Mar 1

Keywords

  • 3-manifold
  • Knot
  • complexity
  • link
  • spine

ASJC Scopus subject areas

  • Algebra and Number Theory

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