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math.AT2026
Homotopy rigidity for quasitoric manifolds over a product of simplices
Xin Fu, Tseleung So, Jongbaek Song +1
We consider a variation of the Cohomological Rigidity Problem: whether two quasitoric manifolds whose cohomology rings are isomorphic are homotopy equivalent. We show that if two q…
math.AT2026
On the homotopy types of -dimensional toric orbifolds
Tyrone Cutler, Tseleung So
The cohomological rigidity problem for toric orbifolds asks when an integral cohomology isomorphism implies a homotopy equivalence. In this paper we reformulate the cohomological r…
math.AT2026
Integral bases for the second degree cohomology of 4-dimensional toric orbifolds
Tseleung So, Jongbaek Song
We study toric orbifolds of real dimension four with vanishing odd-degree cohomology and obtain a basis for its degree-two equivariant cohomology with integral coefficients by iden…