Enumerating complex rank $n$ vector bundles on $\mathbb{C}{P}^{n+1}$

Abstract

We enumerate complex rank $n$ topological vector bundles on $\mathbb{C}{P}^{n+1}$ with prescribed Chern classes. This extends work of Atiyah and Rees in the case $n=2$ and work of Hu in the case that all Chern classes are zero.

arXiv commentTypos fixed, correction to Lemma 4.2, updated statement of Part (iii) of Theorem 1.3. 14 pages, comments welcome!