Character varieties
A Sikora - Transactions of the American Mathematical Society, 2012 - ams.org
We study properties of irreducible and completely reducible representations of finitely
generated groups $\Gamma $ into reductive algebraic groups $ G. $ In particular, we study …
generated groups $\Gamma $ into reductive algebraic groups $ G. $ In particular, we study …
Kauffman bracket skein modules of small 3-manifolds
R Detcherry, E Kalfagianni, AS Sikora - ar**
method, and to apply it in a problem of Quantum Topology: namely the computation of the …
method, and to apply it in a problem of Quantum Topology: namely the computation of the …
Non-abelian Reidemeister torsion for twist knots
J Dubois, V Huynh, Y Yamaguchi - Journal of Knot Theory and Its …, 2009 - World Scientific
This paper gives an explicit formula for the SL2 (ℂ)-non-abelian Reidemeister torsion as
defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the non …
defined in [6] in the case of twist knots. For hyperbolic twist knots, we also prove that the non …
On left-orderability and cyclic branched coverings
AT Tran - Journal of the Mathematical Society of Japan, 2015 - jstage.jst.go.jp
In a recent paper, Y. Hu has given a sufficient condition for the fundamental group of the r-th
cyclic branched covering of S3 along a prime knot to be left-orderable in terms of …
cyclic branched covering of S3 along a prime knot to be left-orderable in terms of …
Twisted Alexander polynomials of 2-bridge knots for parabolic representations
T Morifuji, A Tran - Pacific Journal of Mathematics, 2014 - msp.org
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 …
representation determines fiberedness and genus of a wide class of 2-bridge knots. As a …