Tseleung So

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20182026

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10 papers · 1 filter

math.AT2026

On the homotopy types of $4$ -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…

math.AT2025

Steenrod operations for $4$ -dimensional toric orbifolds

Tseleung So

We prove necessary and sufficient conditions for the existence of non-trivial Steenrod actions on the mod- $2$ cohomology of 4-dimensional toric orbifolds. As applications, the stab…

math.AT2024

Cohomology bases of toric surfaces

Xin Fu, Tseleung So, Jongbaek Song

Given a compact toric surface, the multiplication of its rational cohomology can be described in terms of the intersection products of Weil divisors, or in terms of the cup product…

math.AT2024

Homotopy rigidity for quasitoric manifolds over a product of $d$ -simplices

Xin Fu, Tseleung So, Jongbaek Song +1

For a fixed integer $d \geq 1$ , we show that two quasitoric manifolds over a product of $d$ -simplices are homotopy equivalent after appropriate localization, provided that their int…

math.AT2023

Suspension splittings of 5-dimensional Poincaré duality complexes and their applications

Steven Amelotte, Tyrone Cutler, Tseleung So

Let $X$ be a connected, orientable, 5-dimensional Poincaré duality complex with torsion-free $H_{1} (X; Z)$ . We show that $Σ X$ is homotopy equivalent to a wedge of recognisabl…