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ABSTRUCT In noncommutative spaces, it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Where we define " Instanton number " by the size of B α in the ADHM construction. We show the analytical derivation of the noncommuatative U(1) instanton number as an integral(More)
We show that it is possible to construct invariant field theory under the translation of noncommutative parameter θ µν. This is achieved by noncommutative cohomological field theory. As an example, noncommutative cohomological scalar field theory is constructed, and its partition function is calculated. The partition function is the Euler number of(More)
ABSTRUCT In noncommutative spaces it is unknown whether the Pontrjagin class gives integer, as well as, the relation between the instanton number and Pontrjagin class is not clear. Where we define " Instanton number " by the size of B α in the ADHM construction. We show the analytical derivation of the noncommuatative U(1) instanton number as an integral of(More)
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