12 citations · 40 across the 16 of their papers we have counts for
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math.GT2014★ 1 cited
Twisted Alexander polynomials and incompressible surfaces given by ideal points
Takahiro Kitayama
We study incompressible surfaces constructed by Culler-Shalen theory in the context of twisted Alexander polynomials. For a st cohomology class of a -manifold the coefficient…
math.GT2014
Character varieties of higher dimensional representations and splittings of 3-manifolds
Takashi Hara, Takahiro Kitayama
In 1983 Culler and Shalen established a way to construct essential surfaces in a 3-manifold from ideal points of the -character variety associated to the 3-manifold group. We…
math.GT2014★ 1 cited
Twisted Alexander polynomials and ideal points giving Seifert surfaces
Takahiro Kitayama
The coefficients of twisted Alexander polynomials of a knot induce regular functions of the -character variety. We prove that the function of the highest degree h…