Search Results - "Oshiro, Kanako"

Dehn colorings and vertex-weight invariants for spatial graphs by Oshiro, Kanako, Oyamaguchi, Natsumi

“…In this paper, we study Dehn colorings for spatial graphs, and give a family of spatial graph invariants that are called vertex-weight invariants. We give some…”
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Row relations of twisted Alexander matrices and shadow quandle 2-cocycles by Ishii, Atsushi, Oshiro, Kanako

“…An Alexander pair (f1,f2) and an (f1,f2)-twisted 2-cocycle can be used to define a generalization of twisted Alexander matrices and twisted Alexander…”
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On pallets for Fox colorings of spatial graphs by Oshiro, Kanako

“…We introduce the notion of pallets of quandles and define coloring invariants for spatial graphs which give a generalization of Fox colorings studied in Ishii…”
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Homology groups of symmetric quandles and cocycle invariants of links and surface-links by KAMADA, SEIICHI, OSHIRO, KANAKO

“…We introduce the notion of a quandle with a good involution and its homology groups. Carter et al. defined quandle cocycle invariants for oriented links and…”
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On rack colorings for surface-knot diagrams without branch points by Oshiro, Kanako, Tanaka, Kokoro

“…Racks do not give us invariants of surface-knots in general. For example, if a surface-knot diagram has branch points (and a rack which we use satisfies some…”
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Cocycles of G-Alexander biquandles and G-Alexander multiple conjugation biquandles by Ishii, Atsushi, Iwakiri, Masahide, Kamada, Seiichi, Kim, Jieon, Matsuzaki, Shosaku, Oshiro, Kanako

“…Biquandles and multiple conjugation biquandles are algebras which are related to links and handlebody-links in 3-space. Cocycles of biquandles and multiple…”
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Triple point numbers of surface-links and symmetric quandle cocycle invariants by Oshiro, Kanako

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Independence of Roseman moves including triple points by Kawamura, Kengo, Oshiro, Kanako, Tanaka, Kokoro

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Quandles versus symmetric quandles for oriented links by Oshiro, Kanako

“…Given a quandle, we can construct a symmetric quandle called the symmetric double of the quandle. We show that the (co)homology groups of a given quandle are…”
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Shadow biquandles and local biquandles by Oshiro, Kanako

“…Given a shadow biquandle $(B,X)$ composed of a biquandle $B$ and a strongly connected $B$-set $X$, we have a local biquandle structure on $X$. The (co)homology…”
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Symmetric extensions of dihedral quandles and triple points of non-orientable surfaces by Carter, J. Scott, Oshiro, Kanako, Saito, Masahico

“…Quandles with involutions that satisfy certain conditions, called good involutions, can be used to color non-orientable surface-knots. We use subgroups of…”
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Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions by Oshiro, Kanako, Oyamaguchi, Natsumi

“…In this paper, we study Dehn colorings of spatial graph diagrams, and classify the vertex conditions, equivalently the palettes. We give some example of…”
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Dehn colorings and vertex-weight invariants for spatial graphs by Oshiro, Kanako, Oyamaguchi, Natsumi

“…In this paper, we study Dehn colorings for spatial graphs, and give a family of spatial graph invariants that are called vertex-weight invariants. We give some…”
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Local biquandles and Niebrzydowski's tribracket theory by Nelson, Sam, Oshiro, Kanako, Oyamaguchi, Natsumi

“…We introduce a new algebraic structure called \textit{local biquandles} and show how colorings of oriented classical link diagrams and of broken surface…”
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On rack colorings for surface-knot diagrams without branch points by Oshiro, Kanako, Tanaka, Kokoro

“…Racks do not give us invariants of surface-knots in general. For example, if a surface-knot diagram has branch points (and a rack which we use satisfies some…”
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Up-down colorings of virtual-link diagrams and the necessity of Reidemeister moves of type II by Oshiro, Kanako, Shimizu, Ayaka, Yaguchi, Yoshiro

“…We introduce an up-down coloring of a virtual-link diagram. The colorabilities give a lower bound of the minimum number of Reidemeister moves of type II which…”
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Cocycles of $G$-Alexander biquandles and $G$-Alexander multiple conjugation biquandles by Ishii, Atsushi, Iwakiri, Masahide, Kamada, Seiichi, Kim, Jieon, Matsuzaki, Shosaku, Oshiro, Kanako

“…Biquandles and multiple conjugation biquandles are algebras which are related to links and handlebody-links in $3$-space. Cocycles of them can be used to…”
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Independence of Roseman moves including triple points by Kawamura, Kengo, Oshiro, Kanako, Tanaka, Kokoro

“…Algebr. Geom. Topol. 16 (2016) 2443-2458 Roseman moves are seven types of local modification for surface-link diagrams in $3$-space which generate ambient…”
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Biquandle Virtual Brackets by Nelson, Sam, Oshiro, Kanako, Shimizu, Ayaka, Yaguchi, Yoshiro

“…We introduce an infinite family of quantum enhancements of the biquandle counting invariant we call biquandle virtual brackets. Defined in terms of skein…”
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On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links by Ishii, Atsushi, Nikkuni, Ryo, Oshiro, Kanako

“…Osaka J. Math. 55 (2018), 297--313 There are many studies about twisted Alexander invariants for knots and links, but calculations of twisted Alexander…”
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