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arXiv · 1407.3389

Holomorphic self-maps of the loop space of $\mathbb{P}^n$

Ning Zhang
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Abstract

The loop space $L\mathbb{P}^n$ of the complex projective space $\mathbb{P}^n$ consisting of all $C^k$ or Sobolev $W^{k, \, p}$ maps $S^1 \to \mathbb{P}^n$ is an infinite dimensional complex manifold. We identify a class of holomorphic self-maps of $L\mathbb{P}^n$, including all automorphisms.

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Ning Zhang. 2014-07-12. Holomorphic self-maps of the loop space of $\mathbb{P}^n$. https://doi.org/10.4310/cag.2017.v25.n3.a7

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