V. Manturov

activity

20042023

most citedOn Free Knots and Links

25 citations · 87 across the 29 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.GT2016

Parities on 2-knots and 2-links

Denis A. Fedoseev, Vassily O. Manturov

2-dimensional knots and links are studied in the article. The notion of parity is introduced via techniques similar to the ones used by the second named author in 1-dimensional cas…

math.GT2016

On groups $G_{n}^{k}$ , braids and Brunnian braids

S. Kim, V. O. Manturov

In \cite{Manturov} the second author defined the $k$ -free braid group with $n$ strands $G_{n}^{k}$ . These groups appear naturally as groups describing dynamical systems of $n$ part…

math.GT2016

A Note on a Map from Knots to $2$ -Knots

Vassily Olegovich Manturov

We construct a map from knots to (abstract) 2-knots which can be extended to higher dimensions; this map is the natural "knot" counterpart for "braid" theory of groups $G_{n}^{k}$ .

Parities on 2-knots and 2-links

On groups Gnk​, braids and Brunnian braids

A Note on a Map from Knots to 2-Knots

On groups $G_{n}^{k}$ , braids and Brunnian braids

A Note on a Map from Knots to $2$ -Knots