Floer Homology Language
Note 1
Potential of Language
¶ Prerequisite conditions
Note 6 Homology structure of Word / Tokyo June 16, 2009 / Floer Homology Language
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 / Tokyo June 16, 2009 / Floer Homology Language
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>
Tokyo April 29, 2009
Newly planned on further visibility
Tokyo June 16, 2009
Sekinan Research Field of Language
[Note, 31 March 2015]
This paper was first designed for energy of language. But at that time, I could not write the proper approach from the concept of energy by mathematical process. So I wrote the paper through the concept of potential. Probably energy is one of the most fundamental factors on language. In 2003 I wrote Quantum Theory for Language , before which I wrote the manuscript focusing the concept of quantum abstracted from the ideogram of classical Chinese written language. The last target of manuscript was energy and meaning of quantum that was the ultimate unit of language.
Refer to the next.
Manuscript of Quantum Theory for Language. Hakuba, Nagano. March 2003
This paper was first designed for energy of language. But at that time, I could not write the proper approach from the concept of energy by mathematical process. So I wrote the paper through the concept of potential. Probably energy is one of the most fundamental factors on language. In 2003 I wrote Quantum Theory for Language , before which I wrote the manuscript focusing the concept of quantum abstracted from the ideogram of classical Chinese written language. The last target of manuscript was energy and meaning of quantum that was the ultimate unit of language.
Refer to the next.
Manuscript of Quantum Theory for Language. Hakuba, Nagano. March 2003
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