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Factors of HOMFLY polynomials.

Authors :
Blackwell, Douglas
Testa, Damiano
Source :
Annali dell'Universita di Ferrara: Sezione VII-Scienze Mathematiche; Jun2024, Vol. 70 Issue 3, p1155-1163, 9p
Publication Year :
2024

Abstract

We study factorizations of HOMFLY polynomials of certain prime knots and oriented links. We begin with a computer analysis of prime knots with at most 12 crossings, finding 17 non-trivial factorizations. Next, we give an irreducibility criterion for HOMFLY polynomials of oriented links associated to 2-connected plane graphs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
04303202
Volume :
70
Issue :
3
Database :
Complementary Index
Journal :
Annali dell'Universita di Ferrara: Sezione VII-Scienze Mathematiche
Publication Type :
Academic Journal
Accession number :
178209471
Full Text :
https://doi.org/10.1007/s11565-024-00530-8