3 citations · 6 across the 6 of their papers we have counts for
7 papers · 1 filter
Multiplication of quandle structures
Valeriy G. Bardakov, Denis A. Fedoseev
We generalise the construction of -family of quandles and -family of quandles which were introduced in the paper of A. Ishii, M. Iwakiri, Y. Jang, K. Oshiro, and find connect…
Manifolds of Triangulations, braid groups of manifolds and the groups
D. A. Fedoseev, I. M. Nikonov, V. O. Manturov
The spaces of triangulations of a given manifold have been widely studied. The celebrated theorem of Pachner~\cite{Pachner} says that any two triangulations of a given manifold can…
Word and Conjugacy Problems in Groups
Denis Fedoseev, Andrey Karpov, Vassily Manturov
Recently the third named author defined a 2-parametric family of groups \cite{gnk}. Those groups may be regarded as a certain generalisation of braid groups. Study of the c…
On Groups and : A Study of Manifolds, Dynamics, and Invariants
Vassily O. Manturov, Denis A. Fedoseev, Seongjeong Kim +1
Recently the first named author defined a 2-parametric family of groups . Those groups may be regarded as analogues of braid groups. Study of the connection between the grou…
Cobordisms of graphs. A sliceness criterion for stably odd knots and related results on cobordisms
Denis Fedoseev, Vassily Manturov
In [D.A. Fedoseev, V.O. Manturov, A sliceness criterion for odd free knots,arXiv:1707.04923], the authors proved a sliceness criterion for odd free knots: free knots with odd chord…
A Sliceness Criterion for Odd Free Knots
Denis Fedoseev, Vassily Manturov
The main goal of this paper is to prove that for odd free knots - that is free knots with all odd crossings - the problem of sliceness (the existence of a spanning disc) has an exp…