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

Markus J. Pflaum; Hessel B. Posthuma; Xiang Tang

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arXiv · 1605.06105

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

Markus J. Pflaum·Hessel B. Posthuma·Xiang Tang

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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.

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Markus J. Pflaum, Hessel B. Posthuma, Xiang Tang. 2016-05-19. The Grauert--Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski. https://arxiv.org/abs/1605.06105

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