|
Zapiski Nauchnykh Seminarov POMI, 2008, Volume 353, Pages 150–161
(Mi znsl1640)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Characteristics of link primeness in terms of pseudo-characters
A. V. Malyutin Saint-Petersburg State University
Abstract:
Pseudo-characters of Artin's braid groups and properties of links represented by braids are studied. The notion of kernel pseudo-character is introduced. It is proved that if a kernel pseudo-character $\phi$ and a braid $\beta$ satisfy $|\phi(\beta)|>C_\phi$, where $C_\phi$ is the defect of $\phi$, then $\beta$ represents a prime (i.e., noncomposite, nonsplit, and nontrivial) link. A method for obtaining nontrivial kernel pseudo-characters from an arbitrary nontrivial braid group pseudo-character is described. Bibl. – 17 titles.
Received: 16.09.2006
Citation:
A. V. Malyutin, “Characteristics of link primeness in terms of pseudo-characters”, Geometry and topology. Part 10, Zap. Nauchn. Sem. POMI, 353, POMI, St. Petersburg, 2008, 150–161; J. Math. Sci. (N. Y.), 161:3 (2009), 437–442
Linking options:
https://www.mathnet.ru/eng/znsl1640 https://www.mathnet.ru/eng/znsl/v353/p150
|
Statistics & downloads: |
Abstract page: | 276 | Full-text PDF : | 72 | References: | 29 |
|