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

[References 2]

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

Tokyo

18 May 2016

SRFL Theory