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20032023
most citedTwisted Alexander polynomials and surjectivity of a group homomorphism

33 citations · 79 across the 18 of their papers we have counts for

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18 papers · 1 filter

math.GT2023

Remarks on flat -bundles, vs

Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita

We describe low dimensional homology groups of in terms of Haefliger's classifying space by applying a theorem of Thurston. Then we consider…

math.GT2023

Gluing formula for an invariant related to the Chern-Simons perturbation theory

Teruaki Kitano, Tatsuro Shimizu

The Chern-Simons perturbation theory gives an invariant for a pair of a closed oriented 3-manifold and a representation of the fundamental group. We generalize $d(…

math.GT2022★ 2 cited

An algebraic property of Reidemeister torsion

Teruaki Kitano, Yuta Nozaki

For a 3-manifold and an acyclic -representation of its fundamental group, the -Reidemeister torsion $τ_ρ(M) \in \mathb…

math.GT2019

Twisted Alexander polynomials of torus links

Teruaki Kitano, Takayuki Morifuji, Anh T. Tran

In this paper we give an explicit formula for the twisted Alexander polynomial of any torus link and show that it is a locally constant function on the -character…

math.GT2019★ 3 cited

Finiteness of the image of the Reidemeister torsion of a splice

Teruaki Kitano, Yuta Nozaki

The set of values of the -Reidemeister torsion of a 3-manifold can be both finite and infinite. We prove that is a…

math.GT2016★ 1 cited

A note on Riley polynomials of -bridge knots

Teruaki Kitano, Takayuki Morifuji

In this short note we show the existence of an epimorphism between groups of -bridge knots by means of an elementary argument using the Riley polynomial. As a corollary, we give…