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Thursday, 28 March 2013

Floer Homology Language Note1 Potential of Language


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     (MwM)
Poincaré duality     < . , . >
Product     <V1°V2V3> = V1V2V3)
(MwM) 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

 

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