Contents Online
Methods and Applications of Analysis
Volume 24 (2017)
Number 2
Special issue dedicated to Henry B. Laufer on the occasion of his 70th birthday: Part 2
Guest Editors: Stephen S.-T. Yau (Tsinghua University, China); Gert-Martin Greuel (University of Kaiserslautern, Germany); Jonathan Wahl (University of North Carolina, USA); Rong Du (East China Normal University, China); Yun Gao (Shanghai Jiao Tong University, China); and Huaiqing Zuo (Tsinghua University, China)
The Grauert–Grothendieck complex on differentiable spaces and a sheaf complex of Brylinski
Pages: 321 – 332
DOI: https://dx.doi.org/10.4310/MAA.2017.v24.n2.a8
Authors
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
Grauert–Grothendieck complex, relative basic form, differentiable space
2010 Mathematics Subject Classification
32C18, 32S20
Received 20 May 2016
Accepted 29 November 2016
Published 3 January 2018