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Adjoint twisted Alexander polynomial of twisted Whitehead links

Hoang-An Nguyen

Department of Mathematical Sciences, University of Texas at Dallas, Richardson, TX 75080, USA

E-mail Address: hxn120030@utdallas.edu

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and

Anh T. Tran

http://orcid.org/0000-0003-1179-3088

Department of Mathematical Sciences, University of Texas at Dallas, Richardson, TX 75080, USA

E-mail Address: att140830@utdallas.edu

Corresponding author.

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https://doi.org/10.1142/S0218216518500268Cited by:0 (Source: Crossref)

Abstract

The adjoint twisted Alexander polynomial has been computed for twist knots [A. Tran, Twisted Alexander polynomials with the adjoint action for some classes of knots, J. Knot Theory Ramifications23(10) (2014) 1450051], genus one two-bridge knots [A. Tran, Adjoint twisted Alexander polynomials of genus one two-bridge knots, J. Knot Theory Ramifications25(10) (2016) 1650065] and the Whitehead link [J. Dubois and Y. Yamaguchi, Twisted Alexander invariant and nonabelian Reidemeister torsion for hyperbolic three dimensional manifolds with cusps, Preprint (2009), arXiv:0906.1500]. In this paper, we compute the adjoint twisted Alexander polynomial and nonabelian Reidemeister torsion of twisted Whitehead links.

Keywords:

AMSC: 57M27, 57M05, 57M25

References

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