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Alexander Polynomial Invariants of Torus Knots T(n,3) and Chebyshev Polynomials
Alexander Polynomial Invariants Chebyshev Polynomials Mathematical Physics
2011/9/22
Abstract: The explicit formula, which expresses the Alexander polynomials \Delta_{n,3}(t) of torus knots T(n,3) as a sum of the Alexander polynomials \Delta_{k,2}(t) of torus knots T(k,2), is found. U...
The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
Reidemeister torsion:Twisted Alexander polynomial:branched cover:links:Homology orientation
2011/9/13
Abstract: We consider a sign--determined Reidemeister torsion with multivariables for three manifolds with boundary. This invariant is often called the twisted Alexander polynomial when we consider li...
A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups
Bi-orderable group twisted Alexander polynomial
2011/1/17
We observe that Clay-Rolfsen’s obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened by using the twisted Alexander polynomials for finite representations ...