Analytic cohomology groups of infinite dimensional complex manifolds

作者：Lempert Laszlo^*

来源：Journal of Mathematical Analysis and Applications, 2017, 445(2): 1428-1446.

DOI：10.1016/j.jmaa.2015.12.023

• Analytic cohomology

Given a cohesive sheaf S over a complex Banach manifold M, we endow the cohomology groups H-q(M,S) of M and H-q(U, S) of open covers U of M with a locally convex topology. Under certain assumptions we prove that the canonical map H-q(U,S) H-q (M, S) is an isomorphism of topological vector spaces.

• 出版日期2017-1-15