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 language | English |
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Pages (from-to) | 157-186 |
Number of pages | 30 |
Journal | Selecta Mathematica, New Series |
Volume | 24 |
Issue number | 1 |
DOIs | |
State | Published - 1 Mar 2018 |
Bibliographical note
Publisher Copyright:© 2017, Springer International Publishing.
Keywords
- 40A10
- Primary 58C35
- Secondary 81T15