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.
机构:
Vietnam Natl Univ, Univ Nat Sci, Fac Math & Informat, Ho Chi Minh City, VietnamVietnam Natl Univ, Univ Nat Sci, Fac Math & Informat, Ho Chi Minh City, Vietnam
Huynh, Vu Q.
Le, Thang T. Q.
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机构:
Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USAVietnam Natl Univ, Univ Nat Sci, Fac Math & Informat, Ho Chi Minh City, Vietnam