Odd-Dimensional GKM-Manifolds of Non-Negative Curvature
Odd-Dimensional GKM-Manifolds of Non-Negative Curvature
复制标题
奇维 GKM-非负曲率流形
DOI：
10.1093/imrn/rnab137
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发表时间：
2021
影响因子：
1
通讯作者：
Searle, Catherine
中科院分区：
文献类型：
--
作者：
Escher, Christine;Goertsches, Oliver;Searle, Catherine
取一个非负截面曲率的闭奇gkm流形。我们证明了在这种情况下可以将一个普通的抽象gkm图联系起来，并证明了如果这个图是可定向的，那么它的等变函数和普通有理上同调都可以分离出奇维球的上同调。
Letbe a closed, odd GKMmanifold of non-negative sectional curvature. We show that in this situation one can associate an ordinary abstract GKMgraph toand prove that if this graph is orientable, then both the equivariant and the ordinary rational cohomology ofsplit off the cohomology of an odd-dimensional sphere.