3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.GT2026
Reconstructing Turaev-Viro Invariants from Four-Fold Simple Branched Covering Presentations
Eri Hatakenaka
We construct a finite state sum from a link diagram labelled by transpositions. The diagram presents a closed 3-manifold as a four-fold simple branched cover, and the state sum equ…
math.GR2014
On the rings of Fricke characters of free abelian groups
Eri Hatakenaka, Takao Satoh
In this paper, we study the structure of the rings of Fricke characters of free abelian groups. More precisely, we consider a descending filtration of ideals in the ring, and give…
math.GR2012★ 3 cited
On the graded quotients of the ring of Fricke characters of a free group
Eri Hatakenaka, Takao Satoh
First, we study a descending filtration of the ring of Fricke characters of a free group consisting of ideals on which the automorphism group of a free group acts. Then using it, w…