Wednesday 27 March 2013

Symplectic Language Theory Note 2 Gromov-Witten Invariantational Curve


Symplectic Language Theory

   

Note 2
Gromov-Witten Invariantational Curve


[Invariant]
(Gromov-Witten)



[Note]

g, m     Integer that are not less than 0
βH2(M;Z)
Riemann surface of genus g     ∑
Number of element of ∑     m
Group of elements of ∑   
Pseudo regular map     
Pair    ((∑, β), φ)

2
All the isomorphism class of ((∑, β), φ)      

Gromov-Witten invariant     Virtual fundamental class of 


[Impression]
1
Language is given by .
2
Word is given by ((∑, β), φ).
3
Word's meaning is given by .
4
Meaning unit is given by pi     (1<i<m)
5
Connection rule of word is given by φ.


[References]


To be continued
Tokyo February 27, 2009 
References added from NOTE 1 Gromov-Witten Invariant, February 23, 2009 sekinanlogos 


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