Morgan Opie

activity

20132026

A^{1}

-degree

7 citations · 10 across the 9 of their papers we have counts for

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math.AT2023

Rank-preserving additions for topological vector bundles, after a construction of Horrocks

Morgan Opie

We produce group structures on certain sets of topological vector bundles of fixed rank. In particular, we put a group structure on complex rank $2$ bundles on $C P^{3}$ with…

math.AT2023

A classification of complex rank 3 vector bundles on complex projective 5-space

Morgan Opie

Given integers $a_{1}, a_{2}, a_{3}$ , there is a complex rank $3$ topological bundle on $C P^{5}$ with $i$ -th Chern class equal to $a_{i}$ if and only if $a_{1}, a_{2}, a_{3}$ satisfy the Schwa…