Giovanni Felder, David Kazhdan
Published 2016-11-15Version 1
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.
Poisson brackets of even symplectic forms on the algebra of differential forms
From Vector Analysis to Differential Forms
Some useful operators on differential forms in Galilean and Carrollian spacetimes
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