Add to ORKGThe aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the twisted Reidemeister torsion at the holonomy representation can be expressed as a rational function evaluated at the cusp shape of the knot. Tables given approximations of the twisted Reidemeister torsion for twist knots on some concrete examples are also enclosed
The fundamental group of a 2-bridge knot has a particularly nice presentation, having only two gener...
AbstractThe twisted Alexander polynomial of a knot is applied in three areas of knot theory: inverti...
We frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot o...
The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as ...
13 pagesIn this article, we give an explicit formula to compute the non-abelian twisted sign-determi...
13 pagesIn this article, we give an explicit formula to compute the non-abelian twisted sign-determi...
In this article, we give an explicit formula to compute the non-abelian twisted sign-determined Reid...
In this article, we give an explicit formula to compute the non-abelian twisted sign-determined Reid...
For a 3-manifold $M$ and an acyclic $\mathit{SL}(2,\mathbb{C})$-representation $\rho$ of its fundame...
It has been shown that the twist number of a reduced alternating knot can be determined by summing c...
For a compact oriented 3-manifold with torus boundary the adjoint Reidemeister torsion is defined as...
AbstractIn this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL...
In this paper, in an attempt to extend an earlier work of Lück, we construct a knot invariant with ...
AbstractWe study an invariant of a 3-manifold which consists of Reidemeister torsion for linear repr...
In this paper, we consider the Reshetikhin-Turaev invariants of knots in the three-sphere obtained f...
The fundamental group of a 2-bridge knot has a particularly nice presentation, having only two gener...
AbstractThe twisted Alexander polynomial of a knot is applied in three areas of knot theory: inverti...
We frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot o...
The aim of this paper is to give an explicit formula for the SL2(C)-twisted Reidemeister torsion as ...
13 pagesIn this article, we give an explicit formula to compute the non-abelian twisted sign-determi...
13 pagesIn this article, we give an explicit formula to compute the non-abelian twisted sign-determi...
In this article, we give an explicit formula to compute the non-abelian twisted sign-determined Reid...
In this article, we give an explicit formula to compute the non-abelian twisted sign-determined Reid...
For a 3-manifold $M$ and an acyclic $\mathit{SL}(2,\mathbb{C})$-representation $\rho$ of its fundame...
It has been shown that the twist number of a reduced alternating knot can be determined by summing c...
For a compact oriented 3-manifold with torus boundary the adjoint Reidemeister torsion is defined as...
AbstractIn this paper, we describe the twisted Alexander polynomial of twist knots for nonabelian SL...
In this paper, in an attempt to extend an earlier work of Lück, we construct a knot invariant with ...
AbstractWe study an invariant of a 3-manifold which consists of Reidemeister torsion for linear repr...
In this paper, we consider the Reshetikhin-Turaev invariants of knots in the three-sphere obtained f...
The fundamental group of a 2-bridge knot has a particularly nice presentation, having only two gener...
AbstractThe twisted Alexander polynomial of a knot is applied in three areas of knot theory: inverti...
We frequently encounter knots in the flow of our daily life. Either we knot a tie or we tie a knot o...