Arkadiy Skopenkov

collaborators

3 papers

math.GT2025

Short proofs of Tverberg-type theorems for cell complexes

Roman Karasev, Arkadiy Skopenkov

We present short proofs of Tverberg-type theorems for cell complexes by S. Hasui, D. Kishimoto, M. Takeda, and M. Tsutaya. One of them states that for any prime power $r$ , any comp…

math.GT2025

The band connected sum and the second Kirby move for higher-dimensional links

A. Skopenkov

Let $f : S^{q} ⊔ S^{q} \to S^{m}$ be a link (i.e. an embedding). How does (the isotopy class of) the knot $S^{q} \to S^{m}$ obtained by embedded connected sum of the components of $f$ depend…

math.GT2024

Classification of knotted tori

A. Skopenkov

For a smooth manifold $N$ denote by $E^{m} (N)$ the set of smooth isotopy classes of smooth embeddings $N \to R^{m}$ . A description of the set $E^{m} (S^{p} \times S^{q})$ was known only…