The Grauert--Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski
Geometric Topology
2016-05-20 v1
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.
Keywords
Cite
@article{arxiv.1605.06105,
title = {The Grauert--Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski},
author = {Markus J. Pflaum and Hessel B. Posthuma and Xiang Tang},
journal= {arXiv preprint arXiv:1605.06105},
year = {2016}
}