25 citations · 94 across the 36 of their papers we have counts for
7 papers · 1 filter
On left-orderability and cyclic branched coverings
Anh T. Tran
In a recent paper Y. Hu has given a sufficient condition for the fundamental group of the r-th cyclic branched covering of S^3 along a prime knot to be left-orderable in terms of r…
Twisted Alexander polynomials with the adjoint action for some classes of knots
Anh T. Tran
We calculate the twisted Alexander polynomial with the adjoint action for torus knots and twist knots. As consequences of these calculations, we obtain the formula for the nonabeli…
On the twisted Alexander polynomial for representations into SL_2(C)
Anh T. Tran
We study the twisted Alexander polynomial of a knot associated to a non-abelian representation of the knot group into $SL_2(\BC)$. It is known for every knot …
On left-orderable fundamental groups and Dehn surgeries on knots
Anh T. Tran
We show that the resulting manifold by -surgery on a large class of two-bridge knots has left-orderable fundamental group if the slope satisfies certain conditions. This res…
Twisted Alexander polynomials of 2-bridge knots for parabolic representations
Takayuki Morifuji, Anh T. Tran
In this paper we show that the twisted Alexander polynomial associated to a parabolic representation determines fiberedness and genus of a wide class of 2-bridge knots. As a coroll…
On left-orderable fundamental groups and Dehn surgeries on twist knots
Anh T. Tran
We show that the resulting manifold by -surgery on the hyperbolic twist knot , has left-orderable fundamental group if the slope satisfies the condition $r…