论文标题
拉格曼人和旗帜歧管的三角剖分
Triangulations of Grassmannians and flag manifolds
论文作者
论文摘要
麦克弗森（MacPherson）猜想格拉曼尼亚$ \ mathrm {gr}（2，\ mathbb {r}^n）$具有与组合grassmannian $ \ | \ mbox {macp} {macp}（2，n）\ | $相同的同构类型类型$ \ mathrm {gr}（2，\ mathbb {r}^n）$和$ \ mathrm {Grm {gr}（1,2，\ Mathbb {r}^n）$是同等的$ \ | \ mbox {macp}（1,2，n）\ | $。我们将证明$ \ mathrm {gr}（2，\ mathbb {r}^n）$和$ \ mathrm {grm {gr}（1,2，\ mathbb {r}^n）$是同型对$ \ | \ | \ | \ | \ mbox {MACP}（MACP}（2，N） $ \ | \ mbox {macp}（1,2，n）\ | $。
MacPherson conjectured that the Grassmannian $\mathrm{Gr}(2, \mathbb{R}^n)$ has the same homeomorphism type as the combinatorial Grassmannian $\|\mbox{MacP}(2,n)\|$, while Babson proved that the spaces $\mathrm{Gr}(2,\mathbb{R}^n)$ and $\mathrm{Gr}(1,2,\mathbb{R}^n)$ are homotopy equivalent to their combinatorial analogs $\|\mathrm{MacP}(2,n)\|$ and $\|\mbox{MacP}(1,2,n)\|$ respectively. We will prove that $\mathrm{Gr}(2, \mathbb{R}^n)$ and $\mathrm{Gr}(1,2, \mathbb{R}^n)$ are homeomorphic to $\|\mbox{MacP}(2,n)\|$ and $\|\mbox{MacP}(1,2,n)\|$ respectively.
