AI 中文总结
本文针对奇数n,枚举CP^{n+2}上秩n且具指定复K-理论类的复拓扑向量丛,结果呈24重周期性,与余秩2稳定平凡向量丛枚举相关
AI 中文摘要
对于奇数n,我们枚举复射影空间CP^{n+2}上秩为n的复拓扑向量丛,其具有指定的复K-理论类,结果呈现24重周期性,且与余秩2稳定平凡向量丛的枚举密切相关
英文摘要
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.
Comments25 pages, comments welcome!