Studying complex manifolds by using groups GknGkn and ΓknΓkn
Abstract
In this 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 GknGkn and ΓknΓkn. This is the step towards “complexification” of the GknGkn and ΓknΓkn approach first developed in [V. O. Manturov, D. A. Fedoseev, S. Kim and I. M. Nikonov, On groups GknGkn and ΓknΓkn: A study of manifolds, dynamics, and invariants, preprint (2019), arXiv:1905.08049].