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

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

We enumerate complex rank $n$ topological vector bundles on $\mathbb CP^{n+1}$ 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.

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Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2024-10
1. Verfasser:	Opie, Morgan P
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We enumerate complex rank $n$ topological vector bundles on $\mathbb CP^{n+1}$ 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.
ISSN:	2331-8422

Zusammenfassung:	We enumerate complex rank \(n\) topological vector bundles on \(\mathbb CP^{n+1}\) 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.
ISSN:	2331-8422

Enumerating complex rank \(n\) vector bundles on \(\mathbb CP^{n+1}\)