Author

Morgan Opie

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Aug 2026

Enumerating corank 2 complex vector bundles on odd complex projective spaces

For $n$ odd, we enumerate rank $n$ complex topological vector bundles on $\mathbb CP^{n+2}$ with prescribed complex $K$-theory class. The answer exhibits a 24-fold periodicity and is closely related to the enumeration of corank $2$ stably trivial vector bundles.

Yan Hu, Morgan Opie · 0 citations

Preprint Aug 2026

High-corank torsion in homotopy of unitary groups via topological modular forms and higher real $K$-theories

Work of Toda identifies groups of metastable vector bundles on even-dimensional spheres with stable homotopy groups of certain stunted projective spectra. Using Weiss'unitary calculus, the second-named author generalized this identification to show that metastable, stably trivial vector bundles on even cell complexes c...

Hood Chatham, Yan Hu, Morgan Opie · 0 citations