

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
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Submission date: 19. May. 2016
Pages: 12
published in: Methods and applications of analysis, 24 (2017) 2, p. 321-332
DOI number (of the published article): 10.4310/MAA.2017.v24.n2.a8
Bibtex
Keywords and phrases: G-manifold, Grauert-Grothendieck complex, Brylinski's sheaf
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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.