Dolbeault cohomology of a loop space
Complex Variables
2022-03-08 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
The loop space LP_1 of the Riemann sphere is an infinite dimensional complex manifold consisting of maps (loops) from S^1 to P_1 in some fixed C^k or Sobolev W^{k,p} space. In this paper we compute the Dolbeault cohomology groups H^{0,1}(LP_1).
Keywords
Cite
@article{arxiv.math/0403405,
title = {Dolbeault cohomology of a loop space},
author = {Laszlo Lempert and Ning Zhang},
journal= {arXiv preprint arXiv:math/0403405},
year = {2022}
}
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26 pages