Journal of knot theory and its ramifications
(to appear)
arXiv2109.09245[math.GT]
A New Classical Link Invariant defined via Virtual Links and
Quantum Invariants of 3-Manifolds with Boundary
(with Louis H. Kauffman)
Journal of knot theory and its ramifications(2023)
https://doi.org/10.1142/S0218216523500426,
arxiv2108.13547[math.GT]
Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces
(with Louis H. Kauffman and Igor Mikhailovich Nikonov)
Journal of knot theory and its ramifications
(2021)
https://doi.org/10.1142/S0218216521500528,
arxiv2007.09241[math.GT]
*
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.
(Conference on Knot Theory and Its Applications to Physics and Quantum Computing; 60th birthday of Jozef H. Przytycki, January 6-9, 2015
University of Texas at Dallas Richardson TX, USA)
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
Journal of Knot Theory and Its RamificationsVol. 30, No. 10, 2140003 (2021)
Special Issue: Proceedings of 6th Russian — Chinese Conference on Knot Theory and Related Topics (2nd Part)
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],
Journal of Knot Theory and Its RamificationsVol. 30, No. 10, 2140006 (2021)No Access
Special Issue: Proceedings of 6th Russian — Chinese Conference on Knot Theory and Related Topics (2nd Part)
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
Seeing Four-Dimensional Space and Beyond
Using Knots!
Eiji Ogasa
Series on Knots and Everything: Volume 74, World Scientific,
My book is cited in the website of
Science Fiction and Fantasy Writers of Japan,
a great organization of professional sci-fi writers etc.
A movie to advertise my book
Seeing Four Dimensional Space and Beyond: Using Knots!
A movie related to my book
An instrumental secret of the Hopf link
A movie associated with my book
A scat from high dimensional space
You can buy this book from the above website or Amazon.
My book charted in
Amazon USA Top12（differential geometry）
My book charted in
Italy Amazon
（Bestseller in Matematica (in inglese)）and
America Amazon
（Differential Geometry (Books)）
and
went to the top in
Japan Amazon
(algebraic geometry, written in languages other than Japanese）
List of Eiji Ogasa's Japanese books
(5)
What is manifold?
(This book is written in Japanese. Japanese title is
Tayotai to wa nani ka)
(4)
How to see high dimensional spcae
(This book is written in Japanese. Japanese title is
Kojigen kukan wo miru houhou)
(3)
Let's derive the identities of the theory of relativity, and talk about 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
)
(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
--)
(1) Seeing four dimensional space and beyond
(This book is written in Japanese. Japanese title is
4 jigen ijou no kuukan ga mieru)
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.
Japanese translation
(2)
Introduction to high dimensional knots
arXiv:1304.6053 [math.GT]
(3)
`An elementary introduction to Khovanov-Lipshits-Sarkar stable homotopy type'
(4)
Easy examples of explicit construction of
Khovanov-Lipshitz-Sarkar stable homotopy type
(5)
Seifert surfaces for virtual knots and Floer homology
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 Illinois Univ, Chicago.
Sept 14, 2010, I talked at Quantum Topology / Hopf Algebra Seminar in Illinois Univ, Chicago.
Sept 13, 15, 20, 2011, I talked at Quantum Topology / Hopf Algebra Seminar in Illinois Univ, Chicago.
Sept 9, 11, 16, 18, 2014, I talked at Quantum Topology / Hopf Algebra Seminar in Illinois Univ, Chicago.
Photo:Click here.
March 23, 27, 2018, I talked at Quantum Topology / Hopf Algebra Seminar in Illinois Univ, Chicago.
Photo:Click here.
April 1, 2020,
`A steenrod square for virtual links toward
Khovanov-Lipshitz-Sarkar stable homotopy type for virtual links'
based on my joint paper with Louis H. Kauffman
Skype seminar in Moscow and Beijing
organized by
Manturov.
People attended
from USA, England, France, Russia, China.
March 18,2021
`An elementary introduction to Khovanov-Lipshits-Sarkar stable homotopy type'
Quantum Topology / Hopf Algebra Seminar in Illinois Univ, Chicago, organized by Kauffman. On-line talk.
The file of the speech.
April 7, 2021,
`An elementary introduction to Khovanov-Lipshits-Sarkar stable homotopy type'
Skype seminar in Moscow and Beijing
organized by
Manturov. On line
The file of the speech.
April 8,2021
`Easy examples of explicit constrcution of Khovanov-Lipshits-Sarkar stable homotopy type'
Quantum Topology / Hopf Algebra Seminar in Illinoi Univ, Chicago, organized by Kauffman. On-line talk.
The file of the speech.
June 29, 2021
`Quantum invariants of 3-manifolds with boundary'
Seminars
on knot theory and related topics
organized by Manturov.
On line.
Sept. 22, 2021,
`Surgeries by 5-dimensional handles and 2-dimensional knots in the 4-sphere'
Skype seminar in Moscow and Beijing
organized by
Manturov.
On line.
November 9, 2021
`Quantum Invariants of Links and 3-Manifolds with Boundary defined via Virtual Links'
Fenn-Kauffman seminar On line
The file of the speech.
Dec 3, 2021
`Quantum Invariants of Links and 3-Manifolds with Boundary defined via Virtual Links'
Second Russia-Korea Conference on Knot theory and Related Topics. On line
April 13, 2022
`Quantum Invariants of Links and 3-Manifolds with Boundary defined via Virtual Links'
Moscow-Beijing Topology Seminar, organized by Prof. V.O. Manturov. On line.
Sept 17, 2022
Seifert surfaces for virtual knots and Floer homology
Geometry and topology of 3-manifolds
Sirius Mathematics Center, Sochi(Online)
November, 9, 2022,
Seifert surfaces for virtual knots and Floer homology
Moscow-Beijing Topology Seminar,
organized by
Manturov. On line
December, 21, 2022,
New Quantum invariants of classical links via virtual links
Moscow-Beijing Topology Seminar,
organized by
Manturov. On line.
August 9, 2023
Framed links in thickened surfaces and quantum invariants of 3-manifolds with boundary
Moscow-Beijing Topology Seminar,
organized by
Manturov. On line.
August 1, 2024
Seifert surfaces for virtual knots
Moscow-Beijing Topology Seminar,
organized by
Manturov. On line.
February 2, 2025,
Kauffman states
and
a new Khovanov-Lipshitz-Sarkar stable homotopy type
The International Knot Theory Congress,
Feb. 1-5, 2025 in honor of Lou Kauffman's 80th birthday, Online.
Are all 2-links slice?
April 2, 2025
Moscow-Beijing Topology Seminar,
organized by
Manturov. On line.
A Khovanov-Lipshitz-Sarkar homotopy type for links in thickened surfaces
Click this.
Click this, too.
Sept 18, 2025
Moscow-Beijing Topology Seminar,
organized by
Manturov. On line.
Photo of my coworkes and me, at Chicago, March 2018.
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.
E-mail adddress: pqr100pqr100(at)yahoo.co.jp
(please change (at) into @).
Last Updated, Aug 1, 2024.
Eiji Ogasa's website
タイトル↓をクリックすると出版社のwebsiteに行けます amazonでも購入できます Eiji Ogasaで検索して下さい
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.
