Derived Category Language 1, Category theoretic mirror symmetry conjecture
18/05/2016 00:23
Derived Category Language 1 |
|||
Category theoretic mirror symmetry conjecture
and 
[Reference 1]
[References 2]
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
[Reference 1]
[References 2]
- Bridge across mathematics and physics
- Kontsevich's conjecture Category theoretic mirror symmetry conjecture
Tokyo
18 May 2016