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MiS Preprint
33/2016

The Grauert--Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski

Markus J. Pflaum, Hessel B. Posthuma and Xiang Tang

Abstract

We use the Grauert--Grothendieck complex on differentiable spaces to study basic relative forms on the inertia space of a compact Lie group action on a manifold. We prove that the sheaf complex of basic relative forms on the inertia space is a fine resolution of Bryliski's sheaf of functions on the inertia space.

Received:
May 19, 2016
Published:
May 23, 2016
Keywords:
G-manifold, Grauert-Grothendieck complex, Brylinski's sheaf

Related publications

inJournal
2017 Repository Open Access
Markus J. Pflaum, Hessel B. Posthuma and Xiang Tang

The Grauert-Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski

In: Methods and applications of analysis, 24 (2017) 2, pp. 321-332