Polynomial and signature invariants for pseudo-links via Goeritz matrices

Autor:	Suhyeon Jeong, Jieon Kim, Sang Youl Lee
Rok vydání:	2022
Předmět:	Algebra and Number Theory
Zdroj:	Journal of Knot Theory and Its Ramifications. 31
ISSN:	1793-6527 0218-2165
Popis:	In this paper, we introduce the Goeritz matrix for a pseudo-link whose entries lie in the Laurent polynomial ring [Formula: see text], which generalizes the Goeritz matrix for a classical link. We show that the determinant of a modified Goeritz matrix gives a Laurent polynomial invariant for pseudo-links in one variable u with integer coefficients. We also introduce the notions of the signature, determinant, and nullity of pseudo-links. Further, we discuss some properties of the invariants and compute the polynomials and those numerical invariants for several pseudo-knot families.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fa8f08cb159093adf1210f98c57eda9c https://doi.org/10.1142/s0218216522500602 Zobrazit plný text záznamu