3 papers
math.AT2026
Ganea decompositions of classifying spaces
Yuri Berest, Yun Liu, Ajay C. Ramadoss
We study homotopy decompositions of the classifying spaces of compact connected Lie groups obtained by (relative) fiber-cofiber construction. Given a pair of Borel fibrations…
math.AT2026
Topological realization of algebras of quasi-invariants, I (with an Appendix by M. V. Feigin and K. E. Feldman)
Yuri Berest, Ajay C. Ramadoss
This is the first in a series of papers, where we introduce and study topological spaces that realize the algebras of quasi-invariants of finite reflection groups. Our result can b…
math.AT2025
Quasi-flag manifolds and moment graphs
Yuri Berest, Yun Liu, Ajay C. Ramadoss
We introduce and study a new class of topological -spaces generalizing the classical flag manifolds of compact connected Lie groups. These spaces, which we call the -qu…