格拉斯曼四元数间映射空间的上同调代数

Q3 Mathematics Proceedings of the International Geometry Center Pub Date : 2023-08-03 DOI:10.15673/pigc.v16i2.2453

O. Maphane

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引用次数: 0

摘要

设Gk,n()对于2≤k的k维向量子空间的四元数Grassmann流形。本文利用Sullivan模型，计算了包含i: Gk,n()→Gk,n+r()在从Gk,n()到Gk,n+r()的映射空间中，当r≥1时，包含i: Gk,n()，Gk,n+r();i)的有理上同态代数，更一般地证明了Map(Gk,n();i)的上同态包含一个截断的代数(n [x]x4r+n+k^{2}-nk，当n≥4时。

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