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