Martin Frankland

collaborators

2 papers

math.AT2026

Lower bounds on the number of homotopy types of $SU (n)$ -gauge groups over spheres

Martin Frankland, Yang Hu

We explore the classical question of enumerating the homotopy types of gauge groups of principal $SU (n)$ -bundles over $S^{2 m + 1}$ in the unstable range $m \geq n$ . Using com…

math.AT2026

Multiparameter persistence modules in the large scale

Martin Frankland, Donald Stanley

A persistence module with $m$ discrete parameters is a diagram of vector spaces indexed by the poset $N^{m}$ . If we are only interested in the large scale behavior of such a…

Lower bounds on the number of homotopy types of SU(n)-gauge groups over spheres

Multiparameter persistence modules in the large scale

Lower bounds on the number of homotopy types of $SU (n)$ -gauge groups over spheres