Symplectic Language Theory
Note 2
Gromov-Witten Invariantational Curve
[Invariant]
(Gromov-Witten)
[Note]
1
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]
#1 Dirac Operator
#2 TOMONAGA'S Super Multi-time Theory
To be continued
Tokyo February 27, 2009
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