Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces
Complex Variables
2025-01-28 v1
Abstract
We recall the complex structure on the generalised loop spaces , where is a compact real manifold with boundary and is a complex manifold, and prove a Hartogs-type extension theorem for holomorphic maps from certain domains in generalised loop spaces.
Keywords
Cite
@article{arxiv.2203.13863,
title = {Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces},
author = {Mohammed Anakkar},
journal= {arXiv preprint arXiv:2203.13863},
year = {2025}
}
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13 pages