Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Haruko A. Miyazawa"'
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2a02843c6c53efbc83ef80ebd609389a
https://hdl.handle.net/20.500.14094/0100476841
https://hdl.handle.net/20.500.14094/0100476841
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14dfa7f1510a2a99deab36a57e41d99a
https://doi.org/10.1307/mmj/20205905
https://doi.org/10.1307/mmj/20205905
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3493abc63c32fff0bca70f699110a6c3
https://doi.org/10.1090/proc/14470
https://doi.org/10.1090/proc/14470
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
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:
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
Autor:
Akira Yasuhara, Haruko A. Miyazawa
Publikováno v:
Topology and its Applications. 153:1643-1650
We give a classification of n-component links up to C n -move. In order to prove this classification, we characterize Brunnian links, and have that a Brunnian link is ambient isotopic to a band sum of a trivial link and Milnor's links.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0eeef7e4c9d2d30a7a2f04a4aec9b381
https://doi.org/10.1016/j.topol.2005.06.001
https://doi.org/10.1016/j.topol.2005.06.001
Publikováno v:
Journal of Knot Theory and Its Ramifications. 26:1750072
A virtual link diagram is even if the virtual crossings divide each component into an even number of arcs. The set of even virtual link diagrams is closed under classical and virtual Reidemeister moves, and it contains the set of classical link diagr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd68659b45f7f4e6d48166a1cd10312d
https://doi.org/10.1142/s0218216517500729
https://doi.org/10.1142/s0218216517500729
Autor:
Haruko A. Miyazawa
Publikováno v:
Tokyo J. of Math. 32, no. 2 (2009), 395-408
A local move called a $C_n$-move is related to Vassiliev invariants. It is known that two knots are related by $C_n$-moves if and only if they have the same values of Vassiliev invariants of order less than $n$. In the link case, it is shown that a $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3e67f9b839cd22cdcbda2c9c6da01a3
http://projecteuclid.org/euclid.tjm/1264170238
http://projecteuclid.org/euclid.tjm/1264170238
Autor:
Haruko A. Miyazawa
Publikováno v:
Tokyo J. of Math. 32, no. 2 (2009), 381-393
K. Habiro defined a $C_n$-move which is a local move on oriented links. He also proved that two knots are not distinguished by any Vassiliev invariants of order less than $n$ if and only if they are related by a finite sequence of $C_n$-moves. In the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::720d8f1648bf0f244011256184ecf4e1
https://doi.org/10.3836/tjm/1264170237
https://doi.org/10.3836/tjm/1264170237