23 citations · 257 across the 67 of their papers we have counts for
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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…
Hurwitz equivalences of positive group generators
Tetsuya Ito
For a positively presented group G, we provide a criterion for two tuples of positive group generators of G to be Hurwitz equivalent or Hurwitz-conjugation equivalent. We also pres…
Space of group orderings, quasi morphisms and bounded cohomology
Tetsuya Ito
For a group , we construct a quasi morphism from its left orderings and the map from the space of left orderings to the second bounded cohomology. We show that these maps reflec…
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…
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…