Search Results - "Tanaka, Kokoro"

The bridge number of surface links and kei colorings by Sato, Kouki, Tanaka, Kokoro

“…Meier and Zupan introduced bridge trisections of surface links in S4$S^4$ as a 4‐dimensional analogue to bridge decompositions of classical links, which gives…”
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Khovanov-Jacobsson numbers and invariants of surface-knots derived from Bar-Natan's theory by TANAKA, Kokoro

“…Khovanov introduced a cohomology theory for oriented classical links whose graded Euler characteristic is the Jones polynomial. Since Khovanov's theory is…”
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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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Quandle colorings vs. biquandle colorings by Ishikawa, Katsumi, Tanaka, Kokoro

“…Biquandles are generalizations of quandles. As well as quandles, biquandles give us many invariants for oriented classical/virtual/surface links. Some…”
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Transcriptome analysis reveals limited toxic effects of the UV-filter benzophenone-3 (BP-3) on the hermatypic coral Acropora tenuis and its symbiotic dinoflagellates by Ishibashi, Hiroshi, Nishimura, Saori, Tanaka, Kokoro, Haruta, Shinsuke, Takayama, Kotaro, Yamashiro, Hideyuki, Takeuchi, Ichiro

“…This study aimed to investigate the toxic and transcriptomic effects of the ultraviolet filter benzophenone-3 (BP-3) on Acropora tenuis and its symbiotic…”
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HOMOLOGY FOR QUANDLES WITH PARTIAL GROUP OPERATIONS by Carter, Scott, Ishii, Atsushi, Saito, Masahico, Tanaka, Kokoro

“…A quandle is a set that has a binary operation satisfying three conditions corresponding to the Reidemeister moves. Homology theories of quandles have been…”
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Independence of Roseman moves including triple points by Kawamura, Kengo, Oshiro, Kanako, Tanaka, Kokoro

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Inequivalent surface-knots with the same knot quandle by Tanaka, Kokoro

“…We have a knot quandle and a fundamental class as invariants for a surface-knot. These invariants can be defined for a classical knot in a similar way, and it…”
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Complementary Regions of Knot and Link Diagrams by Adams, Colin, Shinjo, Reiko, Tanaka, Kokoro

“…An increasing sequence of integers is said to be universal for knots and links if every knot and link has a reduced projection on the sphere such that the…”
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The second quandle homology group of the knot $n$-quandle by Tanaka, Kokoro, Taniguchi, Yuta

“…The knot quandle is a complete invariant for oriented classical knots in the $3$-sphere up to orientation. Eisermann computed the second quandle homology group…”
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Any link has a diagram with only triangles and quadrilaterals by Shinjo, Reiko, Tanaka, Kokoro

“…A link diagram can be considered as a $4$-valent graph embedded in the $2$-sphere and divides the sphere into complementary regions. In this paper, we show…”
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2$-knots with the same knot group but different knot quandles by Tanaka, Kokoro, Taniguchi, Yuta

“…We give a first example of 2-knots with the same knot group but different knot quandles by analyzing the knot quandles of twist spins. As a byproduct of the…”
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The bridge number of surface links and kei colorings by Sato, Kouki, Tanaka, Kokoro

“…Meier and Zupan introduced bridge trisections of surface links in $S^4$ as a 4-dimensional analogue to bridge decompositions of classical links, which gives a…”
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Shifting chain maps in quandle homology and cocycle invariants by Hashimoto, Yu, Tanaka, Kokoro

“…Quandle homology theory has been developed and cocycles have been used to define invariants of oriented classical or surface links. We introduce a shifting…”
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Quandle colorings vs. biquandle colorings by Ishikawa, Katsumi, Tanaka, Kokoro

“…Biquandles are generalizations of quandles. As well as quandles, biquandles give us many invariants for oriented classical/virtual/surface links. Some…”
Get full text

Regular-equivalence of $2$-knot diagrams and sphere eversions by Takase, Masamichi, Tanaka, Kokoro

“…Mathematical Proceedings of the Cambridge Philosophical Society 161 (2016) 237-246 For each diagram $D$ of a $2$-knot, we provide a way to construct a new…”
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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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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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The shadow nature of positive and twisted quandle cocycle invariants of knots by Kamada, Seiichi, Lebed, Victoria, Tanaka, Kokoro

“…Quandle cocycle invariants form a powerful and well developed tool in knot theory. This paper treats their variations - namely, positive and twisted quandle…”
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Inequivalent surface-knots with the same knot quandle by Tanaka, Kokoro

“…We have a knot quandle and a fundamental class as invariants for a surface-knot. These invariants can be defined for a classical knot in a similar way, and it…”
Get full text