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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.GT2015★ 1 cited
Introduction to twisted Alexander polynomials and related topics
Teruaki Kitano
This article is based on the lectures in the Winter Braids V (Pau, Feb. 2015). Main puposel of this is to explain how to compute twisted Alexander polynomials for non-experts.
math.GT2009★ 4 cited
A partial order on the set of prime knots with up to 11 crossings
Keiichi Horie, Teruaki Kitano, Mineko Matsumoto +1
Let be a prime knot in and the knot group. We write if there exists a surjective homomorphism from onto . In this paper,…