5 citations · 6 across the 3 of their papers we have counts for
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On a secondary invariant of the hyperelliptic mapping class group
Takayuki Morifuji
In this paper, we discuss relations among several invariants of 3-manifolds including Meyer's function, the eta-invariant, the von Neumann rho-invariant and the Casson invariant fr…
-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…
A Torres condition for twisted Alexander polynomials
Takayuki Morifuji
As a generalization of a fundamental result about the Alexander polynomial of links, we give a description of a Torres condition for the twisted Alexander polynomial of links assoc…
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…
Knot Floer homology of (1,1)-knots
Hiroshi Goda, Hiroshi Matsuda, Takayuki Morifuji
We present a combinatorial method for a calculation of knot Floer homology with Z-coefficient of (1,1)-knots, and then demonstrate it for non-alternating (1,1)-knots with ten cross…