Adjoint twisted Alexander polynomial of twisted Whitehead links

作者：Hoang An Nguyen; Tran Anh T^*

来源：Journal of Knot Theory and Its Ramifications, 2018, 27(4): 1850026.

DOI：10.1142/S0218216518500268

• Adjoint action
• Reidemeister torsion
• twisted Alexander polynomial
• twisted Whitehead link

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 Ramifications 23(10) (2014) 1450051], genus one two-bridge knots [A. Tran, Adjoint twisted Alexander polynomials of genus one two-bridge knots, J. Knot Theory Ramifications 25(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.

• 出版日期2018-4