Symmetry of Reidemeister Torsion on S U2-representation Spaces of Knots
نویسنده
چکیده
We study two sorts of actions on the space of conjugacy classes of irreducible S U2representations of a knot group. One of them is an involution which comes from the algebraic structure of S U2 and the other is the action by the outer automorphism group of the knot group. In particular, we consider them on a 1-dimensional smooth part of the space, which is canonically oriented and metrized via a Reidemeister torsion volume form. As an application we show that the Reidemeister torsion function on the 1-dimensional subspace has symmetry about the metrization.
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