Derived Category Language 1 Category theoretic mirror symmetry conjecture / References added

Derived Category Language 1

Category theoretic mirror symmetry conjecture

1.
Fukaya category is
Fuk(X, ω).

2.
General symplectic manifold is  .
3.

Derived category of A_∞   is   .

4.
Conjecture

When

   and  

have physical mirror relation, 

there exists the next triangle category's equivalence

[References 1]

1. Symplectic Language Theory ​ Note 3 Mirror Symmetry Conjecture on Rational Curve
    / Symplectic Language Theory​
2. Homological Mirror Symmetry Conjecture by KONTSEVICH
   / Symplectic Language Theory​
3. Supersymmetric Harmonic Oscillator
   / Floer Homology Language​
4. Symplectic Language Theory / sekinanlogos
5. Floer Homology Language / sekinanlogos

[References 2]

1. Bridge across mathematics and physics
2. Kontsevich's conjecture Category theoretic mirror symmetry conjecture

Tokyo

18 May 2016

SRFL Theory