Studying complex manifolds by using groups $G_n^k$ and ${\Gamma }_n^k$

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}.

arXiv comment8 pages, comments are welcome!

References in corpus (3)

• Non-Reidemeister Knot Theory and Its Applications in Dynamical Systems, Geometry, and Topology
• Artin's braids, Braids for three space, and groups ${\Gamma }_n^4$ and $G_n^k$
• On Groups $G_n^k$ and ${\Gamma }_n^k$: A Study of Manifolds, Dynamics, and Invariants