Eiji Ogasa's website List of my papers   Movies and Photos   小笠英志のウェブサイトです


Pick up!
新論文です。カウフマンと拙生が書きました 拙著「高次元空間を見る方法」の本文の最後(p.226)で予告していたものです。 A new paper written by Eiji Ogasa and Louis H. Kauffman, Steenrod square for virtual links toward Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links arXiv:2001.07789

おかげさまで 拙著「高次元空間を見る方法」 が、2019年12月17日から第3刷発売開始しました。皆様有り難う御座います。
(第二刷は発売一週間で決定し、2019年10月10日に出ました。)
  拙著を読んで、生まれて初めて高次元が見えた人が驚いている動画です。 皆さんも驚いて下さい。


List of my books


「高次元空間を見る方法 次元が増えるとどんな不思議が起こるのか」
講談社のブルーバックス・シリーズです。 

第3刷が出ました

宣伝動画。

宣伝の静止画像。

講談社のウェブサイト内の拙著のウェブサイト  拙著の一部を試し読みできます

講談社のウェブサイト内の拙著の内容の周辺についての記事






『相対性理論の式を導いてみよう、そして、人に話そう』 Click here.

(ベレ出版) 第二刷まで行きました。It went to second printing.

読者の皆様へ  (本誌付随の動画、画像も、ここに有ります)。  Click here.

マイナス×マイナスがなぜプラスになるのかの小学生でも納得できる説明をこの本に書きました。  Click here.

オイラーの式 を高校数学で納得できる説明をこの本に書きました。   Click here. 







『異次元への扉  ーーはさみと紙から始めてトポロジーの達人にーー』   Click here.  
(日本評論社)

『読者の皆様へ
高次元を見て、高次元の図形を作る快感を、ぜひ皆様にも味わってもらいたいと願って書きました。  Click here.



異次元への扉 の最初の方に書いた問題です。
時間が有ったら考えてみて下さい。
うまく行くと、脳に異次元への扉が開いたような快感が味わえます。  Click here.
 

拙著に関連する動画と記事など


ボーイ・サーフェス設計図 です。是非工作してみて下さい。
 





『4次元以上の空間が見える』  Click here. 
(ベレ出版) 第三刷まで行きました。It went to third printing.

読者の皆様へ  Click here. 

4次元以上の空間が見える の最初の方に書いた問題、2問です。
時間が有ったら考えてみて下さい。
1問目はSF小説やSF映画が好きなら小学生でも出来ると思います。
2問目は、やや難しいです。  Click here.
 

錐の体積=(1/3)×底面積×高さの公式の1/3はどうして1/3になる のかの小学生でも納得できる説明をこの本に書きました。説明に使う簡単な図形の展開図を載せました。是非工作してみて下さい。  Click here.

正十二面体の対角線の長さを全て求める方法をこの本に書きました。正十二面体の工作についてコメントしました。よろしければ正十二面体を工作してみて下さい。  Click here. 

帆船が風上の方へ進むことができることを感覚的に納得できる説明を書きました。手軽な実験で確かめられます。その実験も書きました  Click here. 


週刊日本医事新報 日本医事新報社 2010年5月15日号No4490  P83  に拙記事が載りました。4次元空間についての短い初心者向け記事です


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Movies and Photos

`Make your Boy surface' ボーイ・サーフェスの紙工作 ボーイ・サーフェス設計図 A plan of Boy surface

Klein bottle can be made quickly クラインの壺は簡単に工作できる

Klein bottle=2×Möbius band   クラインの壺=2×メビウスの帯
Klein bottle is made into (respectively, from) two Möbius bands. This fact is understood easily by the craft in this movie. 「クラインの壺はメビウスの帯2個から作れる」「クラインの壺をメビウスの帯2個にわけられる」 ということが簡単に理解できる動画です。

拙著「高次元空間を見る方法」の宣伝動画。 拙著を読んで、生まれて初めて高次元が見えた人が驚いている動画です。皆さんも驚いて下さい。

拙著「高次元空間を見る方法」の宣伝の静止画像。 簡単な四次元の問題が載っています。よかったら考えてみて下さい

拙著「相対性理論の式を導いてみよう、そして、人に話そう」の宣伝静止画像2枚

My website in YouTube



List of Eiji Ogasa's papers

* Steenrod square for virtual links toward Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links (with Louis H. Kauffman) arXiv:2001.07789

Local-move-identities for the Z[t,t^{-1}]-Alexander polynomials of 2-links, the alinking number, and high dimensional analogues arXiv:1602.07775, Journal of Knot Theory and its Ramifications Dallas Proceedings 2019.

Brieskorn submanifolds, Local moves on knots, and knot products (with Louis H. Kauffman)
Journal of knot theory and its ramifications (2019) https://doi.org/10.1142/S0218216519500688
arXiv:1504.01229

* A spinning construction for virtual 1-knots and 2-knots, and the fiberwise and welded equivalence of virtual 1-knots (with Louis H. Kauffman and Jonathan Schneider) Photo of my coworkers and me:Click here.
arXiv.org > math > arXiv:1808.03023

The “unknotting number” associated with other local moves than the crossing-change (Ribbon-move-unknotting-number-two 2-knots, pass-move-unknotting-number-two 1-knots, and high dimensional analogue)
Journal of knot theory and its ramifications (2018) https://doi.org/10.1142/S0218216518500517
arXiv:1612.03325

A new invariant associated with decompositions of manifolds  
Journal of knot theory and its ramifications, Volume 27 (2018) //doi.org/10.1142/S0218216518500190
math.GT/0512320 (which includes hep-th/0401217)

Local moves on knots and products of knots (with Louis H. Kauffman)
Knots in Poland III-Part III Banach Center Publications Volume103 (2014), 159-209 Institute of Mathematics Warszawa 2014  arXiv:1210.4667[math.GT]

* Local moves on knots and products of knots II (with Louis H. Kauffman)
arXiv:1406.5573[math.GT]

Local move identities for the Alexander polynomials of high dimensional knots and inertia groups  
Journal of knot theory and its ramificatioms vol18, no.4 (2009) 531-545, math.GT/0512168, UTMS 97-63

Ribbon-moves of 2-knots: The Farber-Levine pairing and the Atiyah-Pathodi-Singer-Casson-Gordon-Ruberman \widetilde\eta invariants of 2-knots
  Journal of knot theory and its ramificatioms Vol. 16, No. 5 (2007) 523-543 math.GT/0004007, UTMS 2000-22, math.GT/0407164,

Supersymmetry, homology with twisted coefficients and n-dimensional knots
  International Journal of Modern Physics A Vol. 21, Nos. 19 & 20 (10 August 2006), pp.4185-4196. hep-th/0311136

Ribbon-moves of 2-links preserve the \mu-invariant of 2-links
  Journal of knot theory and its ramificatioms, vol13, no5 (2004) 669-687, math.GT/0004008, UTMS 97-35

The intersection of spheres in a sphere and a new geometric meaning of the Arf invariant  
Jornal of knot theory and its ramifications (2002), no. 8, 1211--1231 , University of Tokyo preprint UTMS 95-7, math.GT/0003089 in http://arxiv.org/

Nonribbon 2-links all of whose components are trivial knots and some of whose band-sums are nonribbon knots
  Journal of knot theory and its ramificatioms 10 (2001) 913-922, arXiv:1803.04581

The projections of n-knots which are not the projection of any unknotted knot  
Journal of knot theory and its ramificatioms 10 (2001) 121-132 , math.GT/0003088, UTMS 97-34.

Singularities of projections of n-dimensional knots  
Mathematical Proceedings of the Cambridge Philosophical Society, 126 (1999) 511-519, UTMS96-39, arXiv:1803.03221

Link cobordism and the intersection of slice discs  
Bulletin of the London Mathematical Society, 31 (1999) 1-8 arxiv 1803.02892

Some properties of ordinary sense slice 1-links: Some answers to the problem (26) of Fox
  Proceedings of the American Mathematical society 126 (1998) P.2175-2182, UTMS96-11, arXiv:1803.04586

The intersection of spheres in a sphere and a new application of the Sato-Levine invariant
  Proceedings of the American Mathematical society 126 (1998) PP.3109-3116, UTMS95-54, arXiv:1803.03843

Intersectional pair of n-knots, local moves of n-knots, and their associated invariants of n-knots
  Mathematical Research Letters (1998), 5, 577-582, UTMS 95-50, arXiv:1803.03496

* n-dimensional links, their components, and their band-sums
math.GT/0011163, UTMS 2000-65, arXiv:math/0011163

* A new obstruction for ribbon-moves of 2-knots: 2-knots fibred by the punctured 3-torus and 2-knots bounded by the Poicar\'e sphere
arXiv:1003.2473[math.GT]

* A new pair of non-cobordant surface-links which the Orr invariant, the Cochran sequence, the Sato-Levine invariant, and the alinking number cannot find arXiv:1605.06874


My All papers are gotten from the following websites,
http://xxx.lanl.gov
http://www.ams.org
and those connected with them. Almost all of my papers are also gotten from the websites of the journals where my papers are published.
ResearchGate


List of Eiji Ogasa's introductory articles

(1) Make your Boy surface arXiv:1303.6448[math.GT]
Click this for the movie of the paper-craft of making the Boy surface.

(2) Introduction to high dimensional knots
arXiv:1304.6053 [math.GT]

List of Eiji Ogasa's books

(1) Seeing four dimensional space and beyond
(This book is written in Japanese. Japanese title is
4 jigen ijou no kuukan ga mieru)

(2) The door into different dimension
(This book is written in Japanese. Japanese title is
Ijigen e no tobira --hasami to kami kara hajimete topology no tatsujin ni --)


(3) Would you derive the identities of the theory of relativity? Would you tell the way to your friends?
(This book is written in Japanese. Japanese title is
Sotaisei riron no shiki wo michibiite miyou, soshite, hito ni hanasou )

(4) How to see high dimensional spcae
(This book is written in Japanese. Japanese title is
Kojigen kukan wo miru houhou)

Eiji Ogasa's profile

My interest is to see n-dimensional space and to construct n-dimensional figures since my childhood.

I study topology and theoretical particle physics. My Phd thesis is on high dimensional knots and links. Now I am interested in `high dimensional knots and links' and its related topology.

I received Bachelor Degree (1992) from Math Dept., Univ of Tokyo.
I received Master Degree (1994) from Math. Dept., Univ of Tokyo.
I received PhD (1996) from Math.Dept., Univ. of Tokyo.
I was a DC fellow (1995-1996) and a postdoctoralfellow(1996-2000) of Research Fellowships of Japan Promotion of Science for Young Scientists.
I was a postdoctoralfellow(2000), Faculty of Science, Univ of Tokyo.
I was a COE postdoctoralfellow (2000-), Faculty of Science, Univ of Tokyo.
I taught Einstein's theory of relativity at Kitazato University 2001-2006.
I taught math, physics, and computers atmany universities. Now I teach math at a University.

During 1997-2000 I lived in USA for two years.
I was a visiting researcher of Indiana University and that of Brandeis University.
I had talks at Indiana Univ., Brandeis Univ., South Florida Univ.
I stayed at Berkeley CA for three months, at Bloomington IN for three months, at Waltham MA for for one and a half year, Princeton NJ for a half month, and Tampa FL for a half maonth. While I stayed at the states, I went to congresses at UCBerkley, MSRI, Hravard Univ., MIT, IAS, Princeton Univ. Photo:Click here.

Feb-March 2001 I visited Indiana Univ and had a talk.

2005 Feb March I stayed at Brandeis Univ. I had a talk at Indiana Univ. and another talk at Brandeis Univ.

March, 2010, I attended String 2010 at Texas A&M university.
Sept 7, 2010, I talked at Topology seminor in Indiana Univ, Bloomington.
Sept 11, 2010, I talked at Knots in Chicago in Illinoi Univ, Chicago.
Sept 14, 2010, I talked at Quantum Topology / Hopf Algebra Seminar in Illinoi Univ, Chicago.

Sept 13, 15, 20, 2011, I talked at Quantum Topology / Hopf Algebra Seminar in Illinoi Univ, Chicago.

Sept 9, 11, 16, 18, 2014, I talked at Quantum Topology / Hopf Algebra Seminar in Illinoi Univ, Chicago. Photo:Click here.

March 23, 27, 2018, I talked at Quantum Topology / Hopf Algebra Seminar in Illinoi Univ, Chicago. Photo:Click here.



Photo of my coworkes and me, at Chicago, March 2018.

写真





I visit Chicago Feb and March 2018.






I visit Chicago September 2014.




My hobby is windsurfin since 1995 summer.



I windsurf just for fun.




I started to play waterpolo 2005 spring. I had wanted to play it since my childhood.




I learned Aikido at MIT Aikido club a half year during 1999-2000. I told the teachers there that I learned Judo in my childhood in Japan. They are surprised.




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E-mail adddress: pqr100pqr100(at)yahoo.co.jp (please change (at) into @).

Last Updated Jan 29, 2020.