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On the deformation of Abelian integrals

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Abstract

We consider the deformation of Abelian integrals which arose from the study of Sine-Gordon form factors. Besides the known properties, the deformed integrals are shown to satisfy Riemann bilinear identity. The deformation of the intersection number of cycles on a hyperelliptic curve is introduced.

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Smirnov, F.A. On the deformation of Abelian integrals. Lett Math Phys 36, 267–275 (1996). https://doi.org/10.1007/BF00943279

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  • DOI: https://doi.org/10.1007/BF00943279

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