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arXiv · 2608.23488

Enumerating corank 2 complex vector bundles on odd complex projective spaces

Yang Hu·Morgan Opie
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Abstract

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.

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Yang Hu, Morgan Opie. 2026-08-24. Enumerating corank 2 complex vector bundles on odd complex projective spaces. https://arxiv.org/abs/2608.23488

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