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Monday, 25 July 2016

Story.To Winter. RI Ko. Sekinan Library. 2015

Story.

To Winter. RI Ko. Sekinan Library. 2015.

http://sekinancomment.weebly.com/to-winter.html



Friday, 22 July 2016

Duality of Language. The latest paper of Derived Category Language

Duality of Language


TANAKA Akio

1. Model
Calabi-Yau 3-folds.

2. Theorem
R. Pandharipande and R.P. Thomas.
Pandharipande-Thomas Theorem (1998).

K. Behrend.
Behrent contructable function (2009).


Y. Toda.
Generating functions of stable pair invariants via wall-crossing in derived categories in algebraic geometry. (2008)

Curve-counting theories via stable objects (2010).
T. Bridgeland.
Hall algebras and curve-counting invariants (2011).

D. Joyce and Y.Song
A theory of generalized Donaldson-Thomas invariants. (2012)

3. Definition
Generalized DT invariants. ( Joyce and Song. 2012)

4. Isomorphism
Isomorphism is induced in the defined moduli spaces.

5. Duality and mirror
If language is identified as Calabi-Yau 3 folds, language inevitably induce dual or mirror element.

Reference
Rensetsuso no Doraiken ni kakawaru shomondai. TODA Yukinobu. 2016. Sugaku shobo. Tokyo.

Reference 2
Derived Category Language, 25 May 2016 Edition.

Reference 3.
Actual Language and Imaginary Language. To LÉVI-STRAUSS Claude.

Reference 4.
Symplectic Language Theory ​ Note 3 Mirror Symmetry Conjecture on Rational Curve​.
Symplectic Language Theory ​ Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH​.

Reference 5.
Main papers of Sekinan Library.
SRFL Paper.


Paper ends. 

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This paper is unfinished.

Tokyo
22 July 2016
Sekinan Library

Tuesday, 19 July 2016

Perspective for Derived Category Language. Stability of Language.

Perspective for Derived Category Language. Stability of Language.

TANAKA Akio

1. Model
Derived Category Language.

2. Base
Manifold.

3.Main method
Stability conditions.

4. Theorem
R. Pandharipande and R.P. Thomas.  Pandharipande-Thomas Theorem (1998).
K. Behrend. Behrent contructable function (2009).
Y. Toda. Curve-counting theories via stable objects (2010).
T. Bridgeland. Hall algebras and curve-counting invariants (2011).

5. Definition
Mu limit semi-stable object.

6. Space
Mu limit semi-stable object's moduli space.

7. Stability of Language
In the space(6.) language keeps stability as the set of derived duality.

8. Essence of Language
Duality is the essence of language.

Refer to the next.
Derived Category Language, 25 May 2016 Edition.
Actual Language and Imaginary Language. To LÉVI-STRAUSS Claude.


This paper is unfinished.


Tokyo
19 July 2016
Sekinan Library

Friday, 15 July 2016

Prague in 1920s

Prague in 1920s


​From Print 2012, Chapter 18

Non-symmetry. It was the very theme that I repeatedly talked on with C. Prague in 1920s. Karcevskij's paper "Du dualisme asymetrique du signe linguistique" that appeared in the magazine TCLP.  Absolutely contradicted coexistence between flexibility and solidity, which language keeps on maintaining, by which language continues existing as language.  Still now there will exist the everlasting dual contradiction in language. Why can
language stay in such solid and such flexible condition like that. Karcevskij proposed the duality that is seemed to be almost absolute contradiction.
Sergej Karcevskij's best of papers, for whom C called as the only genius in his last years' book Janua Linguisticae reserata 1994.

SRFL Data. Invitation to Sekinan Library

             SRFL Data. Invitation to Sekinan Library