Ryo Nikkuni

collaborators

4 papers

math.GT2026

Intrinsic linking of simplicial $n$ -complexes in $R^{2 n}$ : An additional minimal $n$ -complex

Ryo Nikkuni

For any positive integer $n$ , the author previously constructed several minimal simplicial $n$ -complexes which necessarily contain a non-splittable two-component link, consisting o…

math.GT2026

Intrinsic linking of a simplicial $n$ -complex embedded in $R^{2 n}$

Ryo Nikkuni

We demonstrate the existence of minimal simplicial $n$ -complexes which inevitably contain a nonsplittable two-component link formed by an $(n - 1)$ -sphere and an $n$ -sphere in any em…

math.GT2025

An intrinsically linked simplicial $n$ -complex

Ryo Nikkuni

For any positive integer $n$ , Segal--Spież, Lovász--Schrijver, Taniyama and Skopenkov provided examples of simplicial $n$ -complexes that inevitably contain a nonsplittable two-comp…

math.GT2025

A short proof of the generalized Conway--Gordon--Sachs theorem

Ryo Nikkuni

The famous Conway--Gordon--Sachs theorem for the complete graph on six vertices was extended to the general complete graph on $n$ vertices by Kazakov--Korablev as a congruence modu…

Intrinsic linking of simplicial n-complexes in R2n: An additional minimal n-complex

Intrinsic linking of a simplicial n-complex embedded in R2n

An intrinsically linked simplicial n-complex

A short proof of the generalized Conway--Gordon--Sachs theorem

Intrinsic linking of simplicial $n$ -complexes in $R^{2 n}$ : An additional minimal $n$ -complex

Intrinsic linking of a simplicial $n$ -complex embedded in $R^{2 n}$

An intrinsically linked simplicial $n$ -complex