Logarithm of differential forms and regularization of volume forms 1

نویسندگان

  • Akira Asada
  • A. Asada
چکیده

By using logarithm of derivation, logarithm of a differential form is defined. It allows to define fractional order differential forms on a flat space. Regularized volume form on a flat infinite-dimensional space is defined by using fractional order differential forms. Applying noncommutative connection, we show regularized volume form can be defined on a mapping space, if its string class vanishes.

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تاریخ انتشار 2002