Takahiro Kitayama

most citedPoincaré duality and degrees of twisted Alexander polynomials

9 citations · 10 across the 3 of their papers we have counts for

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math.GT2011★ 9 cited

Poincaré duality and degrees of twisted Alexander polynomials

Stefan Friedl, Taehee Kim, Takahiro Kitayama

We prove duality theorems for twisted Reidemeister torsions and twisted Alexander polynomials generalizing the results of Turaev. As a corollary we determine the parity of the degr…

math.GT2008

Reidemeister torsion for linear representations and Seifert surgery on knots

Takahiro Kitayama

We study an invariant of a 3-manifold which consists of Reidemeister torsion for linear representations which pass through a finite group. We show a Dehn surgery formula on this in…

math.GT2008★ 1 cited

Symmetry of Reidemeister torsion on $S U_{2}$ -representation spaces of knots

Takahiro Kitayama

We study two sorts of actions on the space of conjugacy classes of irreducible $S U_{2}$ -representations of a knot group. One of them is an involution which comes from the algebraic s…

Poincaré duality and degrees of twisted Alexander polynomials

Reidemeister torsion for linear representations and Seifert surgery on knots

Symmetry of Reidemeister torsion on SU2​-representation spaces of knots

Symmetry of Reidemeister torsion on $S U_{2}$ -representation spaces of knots