[39] Atsushi Ishii and Kanako Oshiro,
Normalized quandle twisted Alexander invariants,
Internat. J. Math. 35 (2024), no. 5, Paper No. 2450011.
[38] Atsushi Ishii and Kanako Oshiro,
Derivatives with Alexander pairs for quandles,
Fund. Math. 259 (2022), no. 1, 1-31.
[37] Atsushi Ishii and Kanako Oshiro,
Quandle twisted Alexander invariants,
Osaka J. Math. 59 (2022), no. 3, 683-702.
[37] Atsushi Ishii and Kanako Oshiro,
Quandle twisted Alexander invariants,
Osaka J. Math. 59 (2022), no. 3, 683-702.
[36] Atsushi Ishii,
The fundamental multiple conjugation quandle of a handlebody-link,
J. Math. Soc. Japan 74 (2022), no. 1, 1-23.
[35] Atsushi Ishii and Kanako Oshiro,
Row relations of twisted Alexander matrices and shadow quandle $2$-cocycles,
Topology Appl. 301 (2021), Paper No. 107513.
[34] Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki and Kanako Oshiro,
Cocycles of $G$-Alexander biquandles and $G$-Alexander multiple conjugation biquandles,
Topology Appl. 301 (2021), Paper No. 107512.
[33] Atsushi Ishii, Shosaku Matsuzaki and Tomo Murao,
A multiple group rack and oriented spatial surfaces,
J. Knot Theory Ramifications 29 (2020), no. 7, 2050046, 20 pp.
[32] Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki and Kanako Oshiro,
Biquandle (co)homology and handlebody-links,
J. Knot Theory Ramifications 27 (2018), no. 11, 1843011, 33 pp.
[31] Atsushi Ishii, Ryo Nikkuni and Kanako Oshiro,
On calculations of the twisted Alexander ideals for spatial graphs, handlebody-knots and surface-links,
Osaka J. Math. 55 (2018), no. 2, 297--313.
[30] Atsushi Ishii, Masahide Iwakiri, Seiichi Kamada, Jieon Kim, Shosaku Matsuzaki, Kanako Oshiro,
A multiple conjugation biquandle and handlebody-links,
Hiroshima Math. J. 48 (2018), no. 1, 89--117.
[29] Atsushi Ishii,
Handlebody-knots and the development of quandle theory (Japanese),
S\=ugaku 48 (2018), no. 1, 63--80.
[28] Atsushi Ishii and Sam Nelson,
Partially multiplicative biquandles and handlebody-knots,
Contemp. Math. 689 (2017) 159--176.
[27] Scott Carter, Atsushi Ishii, Masahico Saito and Kokoro Tanaka,
Homology for quandles with partial group operations,
Pacific J. Math. 287-1 (2017), 19--48.
[26] Atsushi Ishii,
The Markov theorems for spatial graphs and handlebody-knots with Y-orientations,
Internat. J. Math. 26 (2015), 1550116, 23 pp.
[25] Atsushi Ishii,
A multiple conjugation quandle and handlebody-knots,
Topology Appl. 196 (2015), 492--500.
[24] Atsushi Ishii, Kengo Kishimoto and Makoto Ozawa,
Knotted handle decomposing spheres for handlebody-knots,
J. Math. Soc. Japan 67 (2015), 407--417.
[23] Atsushi Ishii and Akira Masuoka,
Handlebody-knot invariants derived from unimodular Hopf algebras,
J. Knot Theory Ramifications 23 (2014), 1460001, 24 pp.
[22] Atsushi Ishii, Masahide Iwakiri, Yeonhee Jang and Kanako Oshiro,
A $G$-family of quandles and handlebody-knots,
Illinois J. Math. 57 (2013), 817--838.
[21] Kai Ishihara and Atsushi Ishii,
An operator invariant for handlebody-knots,
Fund. Math. 217 (2012), 233--247.
[20] Atsushi Ishii and Masahide Iwakiri,
Quandle cocycle invariants for spatial graphs and knotted handlebodies,
Canad. J. Math. 64 (2012), 102--122.
[19] Atsushi Ishii, Kengo Kishimoto, Hiromasa Moriuchi and Masaaki Suzuki,
A table of genus two handlebody-knots up to six crossings,
J. Knot Theory Ramifications 21 (2012), 1250035, 9 pp.
[18] Atsushi Ishii and Kengo Kishimoto,
A finite type invariant of order at most 4 for genus 2 handlebody-knots is a constant map,
Topology Appl. 159 (2012), 1115--1121.
[17] Atsushi Ishii,
On normalizations of a regular isotopy invariant for spatial graphs,
Internat. J. Math. 22 (2011) 1545--1559.
[16] Atsushi Ishii and Kengo Kishimoto,
The quandle coloring invariant of a reducible handlebody-knot,
Tsukuba J. Math. 35 (2011) 131--141.
[15] Atsushi Ishii and Kengo Kishimoto,
The IH-complex of spatial trivalent graphs,
Tokyo J. Math. 33 (2010) 523--535.
[14] Atsushi Ishii,
The leading finite type coefficients of the Links-Gould polynomial of a link,
Kyungpook Math. J. 50 (2010) 49--58.
[13] Atsushi Ishii, Naoko Kamada and Seiichi Kamada,
The Miyazawa polynomial for long virtual knots,
Topology Appl. 157 (2010) 290--297.
[12] Atsushi Ishii,
Smoothing resolution for the Alexander-Conway polynomial,
Acta Math. Vietnam. 33 (2008) 321--333.
[11] Atsushi Ishii,
Moves and invariants for knotted handlebodies,
Algebr. Geom. Topol. 8 (2008) 1403--1418.
[10] Atsushi Ishii,
The skein index for link invariants,
J. Math. Soc. Japan 60 (2008) 719--740.
[9] Atsushi Ishii, Naoko Kamada and Seiichi Kamada,
The virtual magnetic Kauffman bracket skein module and skein relations for the $f$-polynomial,
J. Knot Theory Ramifications 17 (2008) 675--688.
[8] Atsushi Ishii,
The pole diagram and the Miyazawa polynomial,
Internat. J. Math. 19 (2008) 193--207.
[7] Atsushi Ishii and Taizo Kanenobu,
A relation between the LG polynomial and the Kauffman polynomial,
Topology Appl. 154 (2007) 1407--1416.
[6] Atsushi Ishii,
The Links-Gould polynomial as a generalization of the Alexander-Conway polynomial,
Pacific J. Math. 225 (2006) 273--285.
[5] Atsushi Ishii, David De Wit and Jon Links,
Infinitely many two-variable generalisations of the Alexander-Conway polynomial,
Algebr. Geom. Topol. 5 (2005) 405--418.
[4] Atsushi Ishii and Taizo Kanenobu,
Different links with the same Links-Gould invariant,
Osaka J. Math. 42 (2005) 273--290.
[3] Atsushi Ishii,
Algebraic links and skein relations of the Links-Gould invariant,
Proc. Amer. Math. Soc. 132 (2004) 3741--3749.
[2] Atsushi Ishii,
The Links-Gould invariant of closed 3-braids,
J. Knot Theory Ramifications 13 (2004) 41--56.
[1] Atsushi Ishii,
The Links-Gould invariants of the Kanenobu knots,
Kobe J. Math. 20 (2003) 53--61.
Errata:
[20] p.114 L.11, L.12
H_I^3(R_p;\mathbb{Z}_p)_{R_p} in Osaka, and showed that H_I^3(R_3;\mathbb{Z}_3)_{R_3}
--> H_I^2(R_p;\mathbb{Z}_p)_{R_p} in Osaka, and showed that H_I^2(R_3;\mathbb{Z}_3)_{R_3}
[4] p.273 L.12
whose chirality is not undetected by
--> whose chirality is not detected by
Proceedings:
[19] Atsushi Ishii,
The products of Alexander invariants and quandle cocycle invariants,
研究集会「結び目の数学ＶＩＩＩ」報告集, 2016年2月, 191--200.
[18] Atsushi Ishii,
Invariants for knotted handlebodies,
研究集会「量子群と量子トポロジー」報告集, 2010年9月, 149--158.
[17] Atsushi Ishii,
A writhe polynomial for spatial graphs,
研究集会「結び目の数学ＩＩ」報告集, 2010年1月, 146--153.
[16] Atsushi Ishii,
On a normalization of a regular isotopy invariant for spatial graphs,
研究集会「Intelligence of Low Dimensional Topology」報告集, 2009年12月, 47--56.
[15] Atsushi Ishii and Masahide Iwakiri,
A quandle cocycle invariant for handlebody-links,
研究集会「結び目のトポロジーＸ」報告集, 2008年2月, 95--102.
[14] Atsushi Ishii,
Moves and invariants for knotted handlebodies,
研究集会「Intelligence of Low Dimensional Topology」報告集, 2007年12月, 31--40.
[13] Atsushi Ishii,
Smoothing resolution for the Alexander-Conway polynomial,
Intelligence of Low Dimensional Topology 2006,
Series on Knots and Everything, 40.
World Scientific Publishing Co., 2007年6月, 51--56.
[12] Atsushi Ishii,
The pole diagram and the virtual crossing number,
研究集会「結び目のトポロジーＩＸ」報告集, 2007年1月, 218--225.
[11] Atsushi Ishii,
An algebra for the Alexander-Conway polynomial,
研究集会「結び目のトポロジーＶＩＩＩ」報告集, 2006年2月, 171--180.
[10] Atsushi Ishii,
Quantum invariants of virtual links and Cartan subalgebras,
研究集会「結び目と多様体の幾何と代数ＩＩＩ」報告集, 2005年12月, 152--161.
[9] Atsushi Ishii,
On the LG quantum link invariant,
北海道大学数学講究録 Series #89, 2005年2月, 48--52.
[8] Atsushi Ishii,
The LG polynomial as a generalization of the Alexander-Conway polynomial,
研究集会「結び目のトポロジーＶＩＩ」報告集, 2005年2月, 136--145.
[7] Atsushi Ishii,
The LG^{m,1} invariants and the Alexander-Conway polynomial (joint work with D. De Wit and J. Links),
研究集会「Intelligence of Low Dimensional Topology」報告集, 2004年12月, 99--107.
[6] Atsushi Ishii and Taizo Kanenobu,
A relation between the Links-Gould invariant and the Kauffman polynomial,
研究集会「結び目のトポロジーＶＩ」報告集, 2004年2月, 50--58.
[5] Atsushi Ishii and Taizo Kanenobu,
Different links with the same Links-Gould invariant,
研究集会「結び目のトポロジーＶＩ」報告集, 2004年2月, 59--73.
[4] Atsushi Ishii,
The Links-Gould invariants of the Kanenobu knots,
研究集会「Intelligence of Low Dimensional Topology」報告集, 2003年12月, 135--144.
[3] Atsushi Ishii,
Skein relations of the Links-Gould invariant and algebraic links,
研究集会「結び目と多様体の幾何と代数ＩＩ」報告集, 2003年12月, 91--98.
[2] Atsushi Ishii,
The Links-Gould invariant as Vassiliev invariant,
研究集会「結び目のトポロジーＶ」報告集, 2003年2月, 60--69.
[1] Atsushi Ishii,
The Links-Gould invariant of closed 3-braids,
研究集会「結び目と多様体の幾何と代数」報告集, 2003年1月, 109--119.