Regularization of divergent integrals

Giovanni Felder*, David Kazhdan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We study the Hadamard finite part of divergent integrals of differential forms with singularities on submanifolds. We give formulae for the dependence of the finite part on the choice of regularization and express them in terms of a suitable local residue map. The cases where the submanifold is a complex hypersurface in a complex manifold and where it is a boundary component of a manifold with boundary, arising in string perturbation theory, are treated in more detail.

Original languageEnglish
Pages (from-to)157-186
Number of pages30
JournalSelecta Mathematica, New Series
Volume24
Issue number1
DOIs
StatePublished - 1 Mar 2018

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing.

Keywords

  • 40A10
  • Primary 58C35
  • Secondary 81T15

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