4 papers
Genera of two-component alternating links
Noboru Ito, Nodoka Kawajiri
We extend the equality-type results of Ito--Takimura and Kindred for the non-orientable genera of alternating knots to the setting of two-component alternating links. We show that,…
Minimal Generating sets of Reidemeister moves
Noboru Ito, Yuichiro Iwamoto
We determine whether each known generating set of arbitrary oriented Reidemeister moves is minimal. We then provide a complete classification of minimal generating sets that includ…
Remark on twists of Frobenius algebra and link homology
Noboru Ito, Keita Nakagane, Jun Yoshida
We discuss twists on Frobenius algebras in the context of link homology. In his paper in 2006, Khovanov asserted that a twist of a Frobenius algebra yields an isomorphic chain comp…
Arnold Strangeness of surface immersions
Noboru Ito, Hiroki Mizuno
It is known that for any smooth sphere eversion, the number of quadruple point jumps is always odd. In this paper, we define an integer-valued function that detects and classifies…