Enumerating complex rank n vector bundles on \mathbb CPⁿ⁺¹

2024/10/31 by Opie, Morgan P.
#55R25 #55R35 #55R37 #55R50 #55S35 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2410.23520

Abstract

We enumerate complex rank n topological vector bundles on \mathbb CPⁿ⁺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.

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