Kazunori Iwaki

activity

20242026

most citedInfinite families of standard Cappell-Shaneson spheres

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2026

Cappell-Shaneson knot pairs with the same Alexander polynomial

Hisaaki Endo, Kazunori Iwaki, Andrei Pajitnov

It is well known that for $m \geq 2$ there are at most two non-equivalent $m$ -knots with diffeomorphic exterior. Such pair of knots will be called $\textit{ non-reflexive knot pair}…

math.GT2025

Cappell-Shaneson polynomials

Hisaaki Endo, Kazunori Iwaki, Andrei Pajitnov

S. Cappell and J. Shaneson constructed a pair of inequivalent embeddings of $(n - 1)$ -spheres in homotopy $(n + 1)$ -spheres for every square matrix of order $n$ with special properties…

math.GT2024★ 1 cited

Infinite families of standard Cappell-Shaneson spheres

Kazunori Iwaki

Cappell-Shaneson homotopy 4-spheres (CS spheres) are potential counterexamples of the smooth 4-dimensional Poincaré conjecture. Akbulut proved that infinite CS spheres are diffeomo…