24 citations · 88 across the 15 of their papers we have counts for
3 papers · 1 filter
Twisted Novikov homology and circle-valued Morse theory for knots and links
Hiroshi Goda, Andrei V. Pajitnov
The Morse-Novikov number MN(L) of a smooth link L in the three-dimensional sphere is by definition the minimal possible number of critical points of a regular circle-valued Morse f…
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…