论文标题
关于某些方向的格拉曼歧管的整体共同体学代数
On integral cohomology algebra of some oriented Grassmann manifolds
论文作者
论文摘要
$ \ wideTilde g_ {6,3} $的整体共同体学代数已在Kalafat和Yalçinkinkaya的最新工作中确定。我们完全确定$ \ widetilde g_ {n，3} $的积分共同体学代数，$ n = 8 $和$ n = 10 $。描述这些代数的主要方法是Leray-Serre光谱序列。我们还通过确定$ \ widetilde g_ {n，2} $ for $ n $奇数的积分共同体代数来说明此方法。
The integral cohomology algebra of $\widetilde G_{6,3}$ has been determined in the recent work of Kalafat and Yalçinkaya. We completely determine the integral cohomology algebra of $\widetilde G_{n,3}$ for $n=8$ and $n=10$. The main method used to describe these algebras is the Leray-Serre spectral sequence. We also illustrate this method by determining the integral cohomology algebra of $\widetilde G_{n,2}$ for $n$ odd.
