Topological rigidity of ${\mathrm{SL}}_2$-quotients
Algebraic Topology
2026-03-24 v3 Representation Theory
Abstract
We investigate the homotopy type of a certain homogeneous space for a simple complex algebraic group. We calculate some of its classical topological invariants and introduce a new one. We also propose several conjectures about its topological rigidity.
Keywords
Cite
@article{arxiv.2309.07238,
title = {Topological rigidity of ${\mathrm{SL}}_2$-quotients},
author = {Dylan Johnston and Dmitriy Rumynin},
journal= {arXiv preprint arXiv:2309.07238},
year = {2026}
}
Comments
17 pages. Version 2: typos fixed, minor improvements in several places. Version 3: a couple of minor issues fixed, final journal version