Noncommutative Distance Theory
Note 5
Kontsevich Invariant
R3 : = C × R
Knot K
Parameter of height t
Two points on K at t z ( t ) z’ ( t )
Selected point of z and z’ P
z and z’ Code figure on S1 DP
Iteration integral Z’ ( K ) : = 
Σm=0∞ 
×
(-1)#P1DP
Quotient vector space that is quoted by 3 relations ( AS, IHX and STU )* over C on which Jacobi figure is described A ( S1 )
Kontsevich invariant Z ( K ) ∈ A ( S1 )
[Note]
*3 relations ( AS, IHX and STU ) are seemed to be related with characters’ descriptive system.
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