Let K be a prime knot and G(K) its knot group. It is well known that a partial order can be defined on the set of prime knots as follows: for two knots K1,K2, we write K1 â‰¥ K2 if there exists aâ€¦ (More)

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 detects fiberednessâ€¦ (More)

Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2-12-1 Oh-okayama, Meguro-ku, Tokyo 152-8552, Japan E-mail: kitano@is.titech.ac.jp Department of Mathematics, Tokyoâ€¦ (More)

In this paper, we study a series of L 2-torsion invariants from the viewpoint of the mapping class group of a surface. We establish some vanishing theorems for them. Moreover we explicitly calculateâ€¦ (More)