scholarly journals A Survey of Twisted Alexander Polynomials

2011 ◽  
pp. 45-94 ◽  
Author(s):  
Stefan Friedl ◽  
Stefano Vidussi
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

scholarly journals Twisted Alexander polynomials of genus one two-bridge knots

2018 ◽  
Vol 41 (1) ◽  
pp. 86-97
Author(s):  
Anh T. Tran
Keyword(s):  
Alexander Polynomials ◽  
Genus One

scholarly journals A restriction on the Alexander polynomials of L-space knots

2018 ◽  
Vol 297 (1) ◽  
pp. 117-129 ◽  
Author(s):  
David Krcatovich
Keyword(s):  
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.

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