A+ CATEGORY SCIENTIFIC UNIT

Topological rigidity of quoric manifolds

Ioannis Gkeneralis, Stratos Prassidis Colloquium Mathematicum MSC: Primary 57S25; Secondary 57R18, 20C99 DOI: 10.4064/cm9611-5-2025 Published online: 7 August 2025

Abstract

Quoric manifolds are the quaternionic analogue of toric/quasitoric manifolds. They admit a locally nice action of $(S^3)^n$ and the quotient is a manifold with corners. We show that they satisfy equivariant rigidity. More precisely, any locally linear $(S^3)^n$-manifold that it is equivariantly homotopy equivalent to a quoric manifold is equivariantly homeomorphic to it. The proof is given by generalizing the methods used for Coxeter and quasitoric manifolds.

Authors

  • Ioannis GkeneralisDepartment of Mathematics
    Aristotle University of Thessaloniki
    Thessaloniki, 54124 Greece
    e-mail
  • Stratos PrassidisDepartment of Mathematics
    University of the Aegean
    Karlovassi, Samos, 83200 Greece
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image