Distinguishing Gromov-Thurston manifolds using algebraic Dehn fillings

Summary · qwen2.5:32b

The study develops criteria to differentiate the homotopy types of Gromov-Thurston manifolds through an analysis of their fundamental groups as virtual Dehn fillings of relatively hyperbolic groups, providing a new method for manifold distinction. This matters as it offers a novel algebraic approach to geometric problems in topology. The key detail involves using the properties of virtual Dehn fillings to distinguish between these complex geometric structures.

Excerpt

arXiv:2606.27074v2 Announce Type: replace Abstract: We develop criteria to distinguish the homotopy types of Gromov-Thurston manifolds. Our approach is based on a description of their fundamental groups as virtual Dehn fillings of relatively hyperbolic groups.