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pro vyhledávání: '"Kodai Wada"'
Publikováno v:
Michigan Mathematical Journal. 73
For a classical link, Milnor defined a family of isotopy invariants, called Milnor $\overline{\mu}$-invariants. Recently, Chrisman extended Milnor $\overline{\mu}$-invariants to welded links by a topological approach. The aim of this paper is to show
Publikováno v:
Annales de l’Institut Fourier. 71(3):889-911
Two string links are equivalent up to 2n-moves and link-homotopy if and only if their all Milnor link-homotopy invariants are congruent modulo n. Moreover, the set of the equivalence classes forms a finite group generated by elements of order n. The
Publikováno v:
Proceedings of the American Mathematical Society. 147:3595-3602
M. K. Da̧bkowski and J. H. Przytycki introduced the n n th Burnside group of a link, which is an invariant preserved by n n -moves. Using this invariant, for an odd prime p p , they proved that there are links which cannot be reduced to trivial link
Publikováno v:
J. Math. Soc. Japan 72, no. 3 (2020), 923-944
Let $n$ be a positive integer. The aim of this paper is to study two local moves $V(n)$ and $V^{n}$ on welded links, which are generalizations of the crossing virtualization. We show that the $V(n)$-move is an unknotting operation on welded knots for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40748ba0017586cdf301276e80aedb3c
https://projecteuclid.org/euclid.jmsj/1582880413
https://projecteuclid.org/euclid.jmsj/1582880413
Publikováno v:
Transactions of the Materials Research Society of Japan. 43:311-317
Publikováno v:
Journal of Crystal Growth. 468:194-198
Bismuth telluride (Bi 2 Te 3 ) hexagonal nanoplates were prepared via solvothermal synthesis using different sources of alkali such as NaOH, KOH, and LiOH. We observed that NaOH and KOH yielded nanoplates, whereas LiOH yielded irregular-shaped nano-s
In a previous paper, the authors proved that Milnor link-homotopy invariants modulo $n$ classify classical string links up to $2n$-move and link-homotopy. As analogues to the welded case, in terms of Milnor invariants, we give here two classification
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c5b88d131642bee251f118851b3c04d
http://arxiv.org/abs/1903.00347
http://arxiv.org/abs/1903.00347
Publikováno v:
Materials Chemistry and Physics. 173:213-218
We investigated the role of stirring assist during solvothermal synthesis for preparing high quality bismuth telluride (Bi2Te3) hexagonal nanoplates. We performed a series of experiments that comprised solvothermal synthesis with stirring assist at 5
Publikováno v:
Algebr. Geom. Topol. 18, no. 4 (2018), 2497-2507
We introduce the multiplexing of a crossing, replacing a classical crossing of a virtual link diagram with multiple crossings which is a mixture of classical and virtual. For integers $m_{i}$ $(i=1,\ldots,n)$ and an ordered $n$-component virtual link
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a5afac95520f8f4d3537f172404ab1a
We consider Milnor invariants for certain covering links as a generalization of covering linkage invariants formulated by R. Hartley and K. Murasugi. A set of Milnor invariants for covering links is a cobordism invariant of a link, and that this inva
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::188bad2f5985c93c43608f4b4472c755
http://arxiv.org/abs/1603.05873
http://arxiv.org/abs/1603.05873