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arXiv · 2203.13863

Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces

Mohammed Anakkar
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Abstract

We recall the complex structure on the generalised loop spaces $W^{k,2}(S,X)$, where $S$ is a compact real manifold with boundary and $X$ is a complex manifold, and prove a Hartogs-type extension theorem for holomorphic maps from certain domains in generalised loop spaces.

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Mohammed Anakkar. 2022-03-25. Complex manifolds of Sobolev mappings and a Hartogs-type theorem in loop spaces. https://doi.org/10.1080/17476933.2022.2097666

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