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Affiliation Department |
Department of Electrical and Mechanical Engineering
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Professor |
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External Link |
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HIRASAWA Mikami
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Research Career
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結び目と三次元多様体
The Other Research Programs
Project Year： 1993.04
Papers
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Invariant Seifert surfaces for strongly invertible knots Invited Reviewed
M. Hirasawa, R. Hiura and M.Sakuma
Essays in Geometry 325 - 350 2023.08
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)
DOI： 10.4171/IRMA/34
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Stable Alexander polynomials of arborescent links Reviewed International coauthorship International journal
M. Hirasawa and K. Murasugi
Journal of Knot Theory and its Ramifications 28 ( 13 ) 1940017 2020.01
Language：English Publishing type：Research paper (scientific journal)
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Alternating knots with Alexander polynomials having unexpected zeros Reviewed International journal
M. Hirasawa, K. Ishikawa and M. Suzuki
Topology and its applications 253 48 - 56 2019
Language：English Publishing type：Research paper (scientific journal)
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Twisted Alexander polynomials of 2-bridge knots associated to dihedral representations Reviewed International coauthorship International journal
M. hirasawa and K. Murasugi
Journal of knot theory and its ramifications 2018.01
Language：English Publishing type：Research paper (scientific journal)
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Sphere eversion from the viewpoint of generic homotopy Reviewed International journal
Mikami Hirasawa, Minoru Yamamoto
Topology and its Applications 223 13 - 29 2017.06
Language：English Publishing type：Research paper (scientific journal) Publisher：Elsevier
DOI： 10.1016/j.topol.2017.02.074
Other Link： http://www.sciencedirect.com/science/article/pii/S0166864117301530?via%3Dihub
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On stability of Alexander polynomials of knots and links (survey) [(共著)」 Invited Reviewed
Kunio Murasugi
Banach Center Publicatins 100 85 - 98 2014.02
Authorship：Lead author Language：English Publishing type：Research paper (scientific journal)
We study distribution of the zeros of the Alexander polynomials of knots and links.
DOI： 10.4064/bc100-0-5
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Bridge presentations of virtual knots Reviewed
N.Kamada & S.Kamada
Journal of knot theory and its ramifications 20 ( ６ ) 881 - 893 2011.06
Language：English Publishing type：Research paper (scientific journal)
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Evaluations of the twisted Alexander polynomials of 2-bridge knots at ±1 Reviewed
K. Murasugi
Journal of knot theory and its ramifications 19 ( 10 ) 1355 - 1400 2010.08
Language：English Publishing type：Research paper (scientific journal)
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Fibered torti-rational knots Reviewed
K. Murasugi
Journal of knot theory and its ramifications 19 ( 10 ) 1291 - 1353 2010.08
Language：English Publishing type：Research paper (scientific journal)
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When does a satellite knot fiber? Reviewed
K.Murasugi and D.Silver
Hiroshima Journal of Math. 38 ( 3 ) 411 - 423 2008.11
Language：English Publishing type：Research paper (scientific journal)
Books and Other Publications
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美しい幾何学
平澤美可三, 監訳：高木隆司、共訳：稲葉芳成、川崎哲嗣、田中利文、吉田耕平（ Role： Sole author）
丸善出版 2015.03
Total pages：199 Responsible for pages：91-138 Language：jpn Book type：Scholarly book
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Polyhedora
M. Hirasawa et al.（ Role： Joint translator）
Suugaku shobou 2014.09 （ ISBN:978-4-903342-78-8 ）
Language：jpn Book type：Scholarly book
Misc
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Construction and manipulation of Seifert surfaces in knot theory (a note in 2023) Invited
M. Hirasawa
2263 21 - 38 2023.08
Authorship：Lead author Language：English Publishing type：Article, review, commentary, editorial, etc. (bulletin of university, research institution)
Other Link： https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2263.html
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ルービックキューブと数学／解法開発の技法 Invited
平澤美可三
61 ( 2 ) 8 - 14 2022.02
Authorship：Lead author Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media) Publisher：日本評論社
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4次元多面体入門／正多胞体の内訳と構成 Invited
平澤美可三
60 ( 9 ) 8 - 15 2021.09
Authorship：Lead author Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media) Publisher：日本評論社
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数学教室だより：名古屋工業大学大学院情報工学専攻情報数理分野 Invited
平澤美可三
20 ( 3 ) 37 - 38 2015.11
Language：Japanese Publisher：日本数学会
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パズルにおける多面体 Invited
平澤美可三
54 ( 8 ) 30 - 34 2015.06
Language：Japanese Publishing type：Article, review, commentary, editorial, etc. (trade magazine, newspaper, online media) Publisher：日本評論社
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Various stabilities of the Alexander polynomials of knots and links
Kunio Murasugi
1 - 92 2013.06
Authorship：Lead author Language：English Publishing type：Article, review, commentary, editorial, etc. (other) Publisher：Cornell University
Other Link： http://de.arxiv.org/pdf/1307.1578.pdf
Presentations
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Construction and manipulation of Seifert surfaces in knot theory Invited International conference
M. Hirasawa
Intelligence of Low-dimensional Topology 2023.05 Kyoto Univ
Event date： 2023.05
Language：Japanese Presentation type：Oral presentation (general)
Venue：Kyoto Country：Japan
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Stallings’, Harer’s and one more, last twist on fiber surfaces producing new fibered links International conference
M. Hirasawa
The 18th East Asian Conference on Geometric Topology 2023.02
Event date： 2023.02
Language：English Presentation type：Oral presentation (general)
Venue：Soochow University (zoom) Country：China
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2橋結び目の強対合で不変なザイフェルト曲面の最小種数
平澤美可三
拡大KOOKセミナー２０２２ 2022.08
Event date： 2022.08
Language：Japanese Presentation type：Oral presentation (general)
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Sphere eversion in virtual reality International conference
平澤美可三
2022.01
Event date： 2022.01
Language：English Presentation type：Oral presentation (general)
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On Alexander polynomials of degree over 764 of alternating knots with over 778 crossings Invited International conference
M. Hirasawa
Mini-Workshop "Knots + More" 韓國科學技術院
Event date： 2021.08
Language：English Presentation type：Oral presentation (invited, special)
Venue：韓國科學技術院
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Fiberation of knot complements and partial chirality of knots Invited International conference
Mikami Hirasawa
キラリティー、トポロジー、結び目論 第3回研究会
Event date： 2019.10 - 2019.11
Language：English Presentation type：Oral presentation (invited, special)
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Alternating knots with Alexander polynomials having unexpected zeros Invited International conference
Hirasawa Mikami
The 14th East Asian Conference on Geometric Topology
Event date： 2019.01
Language：English Presentation type：Oral presentation (invited, special)
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Alternating knots with Alexander polynomials having unexpected zeros
Hirasawa Mikami
トポロジーとコンピュータ
Event date： 2018.10
Language：Japanese Presentation type：Oral presentation (general)
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On the Distribution of Zeros of Alexander Polynomials of links Invited
Hirasawa Mikami
Branched Coverings, Degenerations, and Related Topics 2018
Event date： 2018.03
Language：English Presentation type：Oral presentation (invited, special)
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Seifert matrices and surfaces directly obtained from a given Alexander polynomial Invited International conference
Hirasawa Mikami
The 13th East Asian School of Knots and Related Topics
Event date： 2018.01 - 2018.02
Language：English Presentation type：Oral presentation (invited, special)