2023/10/02 by Gkeneralis, I., Prassidis, S. · 1 citation
#20C99 #57R18 #57S25 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2310.00948
Quoric manifolds are the quaternionic analogue of toric manifolds. They admit a locally nice action of (S3)n and the quotient is a manifold with corners. We show that they satisfy equivariant rigidity. More precisely, any locally linear (S3)n-manifold that it is equivariantly homotopic equivalent to a quoric manifold is equivariantly homeomorphic to it. The proof is given by generalising the methods of used in Coxeter and toric manifolds.