Isomorphic periodic links as coverings

Authors
Kwak, JH Lee, J Sohn, MY
Citation
Jh. Kwak et al., Isomorphic periodic links as coverings, J KNOT TH R, 8(2), 1999, pp. 215-240
Citations number
17
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
ISSN journal
02182165 → ACNP
Volume
8
Issue
2
Year of publication
1999
Pages
215 - 240
Database
ISI
SICI code
0218-2165(199903)8:2<215:IPLAC>2.0.ZU;2-I
Abstract
In this paper, we introduce a method to construct all Z(n)-coverings of a g iven link L and characterize them up to covering isomorphism. By using this characterization, we show that the number of the isomorphism classes of Z( n)-coverings of a link L is equal to the number of crossings of L plus one. As a result, we give a new combinatorial computing of the signature of a p eriodic link. A counting method for the number of the components of a perio dic link is also discussed.