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math.GT2008★ 1 cited
-torsion invariants and the Magnus representation of the mapping class group
Teruaki Kitano, Takayuki Morifuji
In this paper, we study a series of -torsion invariants from the viewpoint of the mapping class group of a surface. We establish some vanishing theorems for them. Moreover we…
math.GT2003★ 1 cited
Reidemeister torsion, twisted Alexander polynomial and fibered knots
Hiroshi Goda, Teruaki Kitano, Takayuki Morifuji
As a generalization of a classical result on the Alexander polynomial for fibered knots, we show in this paper that the Reidemeister torsion associated to a certain representation…