Arkadiy Skopenkov

activity

20052024

most citedClassification of knotted tori

7 citations · 30 across the 11 of their papers we have counts for

collaborators

Showing 2024Show all

2 papers · 1 filter

math.GT2024

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

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…