23 citations · 257 across the 67 of their papers we have counts for
Showing 2010 · math.GTShow all
3 papers · 2 filters
math.GT2010★ 1 cited
A remark on Alexander polynomial criterion for bi-orderability of fibered 3-manifold groups
Tetsuya Ito
We observe that Clay-Rolfsen's obstruction of bi-orderability, which uses the classical Alexander polynomial, is not strengthened by using the twisted Alexander polynomials for fin…
math.GT2010★ 3 cited
A functor-valued extension of knot quandles
Tetsuya Ito
For an oriented knot , we construct a functor from the category of pointed quandles to the category of quandles in three different ways. We also extend the quandle cocycle invar…
math.GT2010★ 1 cited
A note on geometric constructions of bi-invariant orderings
Tetsuya Ito
We construct bi-invariant total orderings of residually torsion-free nilpotent groups by using Chen's iterated integrals. This construction can be seen as a generalization of the M…