Links and spines

Yuya Koda

研究成果: Article査読

抄録

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.

本文言語English
論文番号1250027
ジャーナルJournal of Knot Theory and its Ramifications
21
3
DOI
出版ステータスPublished - 2012 3

ASJC Scopus subject areas

  • 代数と数論

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