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of 39
pro vyhledávání: '"Fedoseev, Denis"'
We generalise the construction of $Q$-family of quandles and $G$-family of quandles which were introduced in the paper of A. Ishii, M. Iwakiri, Y. Jang, K. Oshiro, and find connection with other constructions of quandles. We define a composition of q
Externí odkaz:
http://arxiv.org/abs/2204.12571
Autor:
Ivanov, Alexander, Nosovskiy, Gleb, Chekunov, Alexey, Fedoseev, Denis, Kibkalo, Vladislav, Nikulin, Mikhail, Popelenskiy, Fedor, Komkov, Stepan, Mazurenko, Ivan, Petiushko, Aleksandr
Manifold hypothesis states that data points in high-dimensional space actually lie in close vicinity of a manifold of much lower dimension. In many cases this hypothesis was empirically verified and used to enhance unsupervised and semi-supervised le
Externí odkaz:
http://arxiv.org/abs/2107.03903
Recently the third named author defined a 2-parametric family of groups $G_n^k$ \cite{gnk}. Those groups may be regarded as a certain generalisation of braid groups. Study of the connection between the groups $G_n^k$ and dynamical systems led to the
Externí odkaz:
http://arxiv.org/abs/1906.04916
Recently the first named author defined a 2-parametric family of groups $G_n^k$. Those groups may be regarded as analogues of braid groups. Study of the connection between the groups $G_n^k$ and dynamical systems led to the discovery of the following
Externí odkaz:
http://arxiv.org/abs/1905.08049
Autor:
Fedoseev, Denis, Manturov, Vassily
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 chords. In the present paper we give a similar criterion for stably odd fre
Externí odkaz:
http://arxiv.org/abs/1708.07365
Autor:
Fedoseev, Denis, Manturov, Vassily
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 explicit answer based on the pairing of the knot diagram chords.
Com
Com
Externí odkaz:
http://arxiv.org/abs/1707.04923
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 case. By using parity new invariants are constructed and known invariants
Externí odkaz:
http://arxiv.org/abs/1606.06947
In the present paper, we introduce $\mathbb{Z}_2$-braids and, more generally, $G$-braids for an arbitrary group $G$. They form a natural group-theoretic counterpart of $G$-knots, see \cite{reidmoves}. The underlying idea, used in the construction of
Externí odkaz:
http://arxiv.org/abs/1507.02700
Publikováno v:
Sb. Math., 203:8 (2012), 1112-1150
The generalization of Bertrand's theorem to abstract surfaces of revolution without "equators" is proved. We prove a criterion for the existence on such a surface of exactly two central potentials (up to an additive and a multiplicative constants) al
Externí odkaz:
http://arxiv.org/abs/1109.0745
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