Studying complex manifolds by using groups $G_{n}^{k}$ and $\Gamma_{n}^{k}$

Vassily Olegovich Manturov; Zheyan Wan

doi:10.1142/s0218216520430026

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arXiv · 2007.02791

Studying complex manifolds by using groups $G_{n}^{k}$ and $\Gamma_{n}^{k}$

Vassily Olegovich Manturov·Zheyan Wan

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Abstract

In the present paper, we study several complex manifolds by using the following idea. First, we construct a certain moduli space and study the fundamental group of this space. This fundamental group is naturally mapped to the groups $G_{n}^{k}$ and $\Gamma_{n}^{k}$. This is the step towards "complexification" of the $G_{n}^{k}$ and $\Gamma_{n}^{k}$ approach first developed in \cite{2019arXiv190508049M}.

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Vassily Olegovich Manturov, Zheyan Wan. 2020-07-06. Studying complex manifolds by using groups $G_{n}^{k}$ and $\Gamma_{n}^{k}$. https://doi.org/10.1142/s0218216520430026

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