Potential of Language / Floer Homology Language / 29 April 2009
Floer Homology Language
Note1
Potential of Language
¶ Prerequisite conditions
Note 6 Homology structure of Word
1
(Definition)
(Gromov-Witten potential)
2
(Theorem)
(Witten-Dijkggraaf-Verlinde-Verlinde equation)
3
(Theorem)
(Structure of Frobenius manifold)
Symplectic manifold (M, wM)
Poincaré duality < . , . >
Product <V1°V2, V3> = V1V2V3(
)
(M, wM) has structure of Frobenius manifold over convergent domain of Gromov-Witten potential.
4
(Theorem)
Mk,β (Q1, ..., Qk) =
N(β) expresses Gromov-Witten potential.
[Image]
When Mk,β (Q1, ..., Qk) is identified with language, language has potential N(β).
Potential of Language
¶ Prerequisite conditions
Note 6 Homology structure of Word
1
(Definition)
(Gromov-Witten potential)
2
(Theorem)
(Witten-Dijkggraaf-Verlinde-Verlinde equation)
3
(Theorem)
(Structure of Frobenius manifold)
Symplectic manifold (M, wM)
Poincaré duality < . , . >
Product <V1°V2, V3> = V1V2V3(
)(M, wM) has structure of Frobenius manifold over convergent domain of Gromov-Witten potential.
4
(Theorem)
Mk,β (Q1, ..., Qk) =
N(β) expresses Gromov-Witten potential.
[Image]
When Mk,β (Q1, ..., Qk) is identified with language, language has potential N(β).
[Reference]
First designed on <energy of language> at
Tokyo April 29, 2009
Newly planned on further visibility at
Tokyo June 16, 2009
Sekinan Research Field of language
Tokyo April 29, 2009
Newly planned on further visibility at
Tokyo June 16, 2009
Sekinan Research Field of language
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