scholarly journals Alexander polynomials of certain dual of smooth quartics

2013 ◽  
Vol 89 (9) ◽  
pp. 119-122 ◽  
Author(s):  
Duc Tai Pho
Keyword(s):  
Alexander Polynomials

scholarly journals Profinite rigidity for twisted Alexander polynomials

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Jun Ueki
Keyword(s):  
Rigidity Theorem ◽  
Homology Groups ◽  
Alexander Polynomials ◽  
Twisted Homology ◽  
Hyperbolic Volumes

AbstractWe formulate and prove a profinite rigidity theorem for the twisted Alexander polynomials up to several types of finite ambiguity. We also establish torsion growth formulas of the twisted homology groups in a {{\mathbb{Z}}}-cover of a 3-manifold with use of Mahler measures. We examine several examples associated to Riley’s parabolic representations of two-bridge knot groups and give a remark on hyperbolic volumes.

scholarly journals Alexander polynomials of periodic knots

Topology ◽  
1991 ◽  
Vol 30 (4) ◽  
pp. 551-564 ◽  
Author(s):  
James F. Davis ◽  
Charles Livingston
Keyword(s):  
Alexander Polynomials

scholarly journals Twisted Alexander polynomials and surjectivity of a group homomorphism

2005 ◽  
Vol 5 (4) ◽  
pp. 1315-1324 ◽  
Author(s):  
Teruaki Kitano ◽  
Masaaki Suzuki ◽  
Masaaki Wada
Keyword(s):  
Group Homomorphism ◽  
Alexander Polynomials

scholarly journals HOMFLY-PT and Alexander polynomials from a doubled Schur algebra

2018 ◽  
Vol 9 (2) ◽  
pp. 323-347 ◽  
Author(s):  
Hoel Queffelec ◽  
Antonio Sartori
Keyword(s):  
Schur Algebra ◽  
Alexander Polynomials

LOCAL MOVE IDENTITIES FOR THE ALEXANDER POLYNOMIALS OF HIGH-DIMENSIONAL KNOTS AND INERTIA GROUPS

2009 ◽  
Vol 18 (04) ◽  
pp. 531-545 ◽  
Author(s):  
EIJI OGASA
Keyword(s):  
The Other ◽  
High Dimensional ◽  
Inertia Group ◽  
Alexander Polynomials ◽  
Jones Polynomials

As analogues of the well-known skein relations for the Alexander and the Jones polynomials for classical links, we present three relations that hold among invariants of high dimensional knots differing by "local moves". Two are for the Alexander polynomials and the other is for the Arf-invariants, the inertia group and the bP-subgroup.

Differences of Alexander polynomials for knots caused by a single crossing change, II

2017 ◽  
Vol 26 (14) ◽  
pp. 1750097
Author(s):  
Yasutaka Nakanishi
Keyword(s):  
Alexander Polynomial ◽  
Alexander Polynomials ◽  
Single Crossing ◽  
Previous Note

In the previous note, Okada and the author gave an approach to give a characterization of Alexander polynomials for knots which are transformed by a single crossing change into a given knot whose Alexander polynomial is monic. In this note, we give a characterization in the case of [Formula: see text], and show that the Gordian distance of [Formula: see text] and [Formula: see text] is two. We also give a characterization in the cases of more three knots.

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