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