1.
Fukaya category is
Fuk(X, ω).
Fukaya category is
Fuk(X, ω).
2.
General symplectic manifold is
.
3.
General symplectic manifold is
.3.
Derived category of A∞
is 
.
is .
4.
Conjecture
Conjecture
When
and 
have physical mirror relation,
there exists the next triangle category's equivalence
[References 1]
- Symplectic Language Theory Note 3 Mirror Symmetry Conjecture on Rational Curve
/ Symplectic Language Theory - Homological Mirror Symmetry Conjecture by KONTSEVICH
/ Symplectic Language Theory - Supersymmetric Harmonic Oscillator
/ Floer Homology Language - Symplectic Language Theory / sekinanlogos
- Floer Homology Language / sekinanlogos
[References 2]
- Bridge across mathematics and physics
- Kontsevich's conjecture Category theoretic mirror symmetry conjecture
Tokyo
18 May 2016