Indecomposable Quasiconformal Maps of Manifolds
Geometric Topology
2026-05-22 v1 Complex Variables
Metric Geometry
Abstract
We demonstrate the existence of quasiconformal mappings on closed manifolds that cannot be decomposed as a composition of mappings with arbitrarily small conformal distortion.
Cite
@article{arxiv.2605.21894,
title = {Indecomposable Quasiconformal Maps of Manifolds},
author = {Benjamin B. McMillan},
journal= {arXiv preprint arXiv:2605.21894},
year = {2026}
}
Comments
21 pages. Comments welcome!