p-local stable cohomological rigidity of quasitoric manifolds

2016/05/11 by Hasui, Sho, Kishimoto, Daisuke
#55P15 (Primary) #57S25 (Secondary) #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1605.03522

Abstract

It is proved that if two quasitoric manifolds of dimension ≤ 2p²-4 for a prime p have isomorphic cohomology rings, then they have the same p-local stable homotopy type.

Related

• Homotopy rigidity for quasitoric manifolds over a product of d-simplices
• Strong cohomological rigidity of quasitoric manifolds over the 3-cube
• Topological rigidity of quasitoric manifolds
• Strong Cohomological rigidity of Bott manifolds
• p-local stable splitting of quasitoric manifolds