Derived Category Language 1, Category theoretic mirror symmetry conjecture

18/05/2016 00:23

 

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

[Reference 1]

1. Symplectic Language Theory ​ Note 3 Mirror Symmetry Conjecture on Rational Curve​

[References 2]

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

Tokyo

18 May 2016

SRFL Theory

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