论文标题
$ bpu_n $在较低维度和汤姆地图上
On the Brown-Peterson cohomology of $BPU_n$ in lower dimensions and the Thom map
论文作者
论文摘要
对于一个奇数prime $ p $，我们研究了$ bpu_n $的汤姆地图的图像，到普通同胞的尺寸$ 0 \ leq i \ leq i \ leq i \ leq i \ leq 2p+2 $，其中$ bpu_n $是投射型单位集团$ pu_n $的分类空间。另外，我们还表明，一个充分理解的$ p $ torsion cohomology类$ y_ {p，k} \ in H^{2p^{k+1} +2} +2}（bpu_n; z _ {（p）}）$在Thom Map的图像中。
For an odd prime $p$, we study the image of the Thom map from Brown-Peterson cohomology of $BPU_n$ to the ordinary cohomology in dimensions $0\leq i\leq 2p+2$, where $BPU_n$ is the classifying space of the projective unitary group $PU_n$. Also we show that a family of well understood $p$-torsion cohomology classes $y_{p,k}\in H^{2p^{k+1}+2}(BPU_n;Z_{(p)})$ are in the image of the Thom map.
