Tseleung So

activity

20182024

collaborators

5 papers

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.AT2020

The homotopy classification of four-dimensional toric orbifolds

Xin Fu, Tseleung So, Jongbaek Song

Let $X$ be a $4$ -dimensional toric orbifold. If $H^{3} (X)$ has a non-trivial odd primary torsion, then we show that $X$ is homotopy equivalent to the wedge of a Moore space and a CW-…

math.AT2018

The homotopy types of $S p (2)$ -gauge groups over closed, simply-connected four-manifolds

Tseleung So, Stephen Theriault

We determine the number of distinct fibre homotopy types for the gauge groups of principal $S p (2)$ -bundles over a closed, simply-connected four-manifold.

math.AT2018

Homotopy types of $S U (n)$ -gauge groups over non-spin 4-manifolds

Tseleung So

Let $M$ be an orientable, simply-connected, closed, non-spin 4-manifold and let $G_{k} (M)$ be the gauge group of the principal $G$ -bundle over $M$ with second Chern class $…

math.AT2018

Odd primary homotopy types of the gauge groups of exceptional Lie groups

Sho Hasui, Daisuke Kishimoto, Tseleung So +1

The $p$ -local homotopy types of gauge groups of principal $G$ -bundles over $S^{4}$ are classified when $G$ is a compact connected exceptional Lie group without $p$ -torsion in homolog…

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

The homotopy classification of four-dimensional toric orbifolds

The homotopy types of Sp(2)-gauge groups over closed, simply-connected four-manifolds

Homotopy types of SU(n)-gauge groups over non-spin 4-manifolds

Odd primary homotopy types of the gauge groups of exceptional Lie groups

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

The homotopy types of $S p (2)$ -gauge groups over closed, simply-connected four-manifolds

Homotopy types of $S U (n)$ -gauge groups over non-spin 4-manifolds