论文标题
borel-hirzebruch型公式用于GKM图上的投影束的图形等效的共同体
Borel-Hirzebruch type formula for the graph equivariant cohomology of a projective bundle over a GKM-graph
论文作者
论文摘要
在本文中，我们介绍了等效复杂矢量束的GKM理论对应物作为“腿束”。我们还为腿部束的项目化提供了一个定义，并证明了其图表等值同居的Borel-Hirzebruch型公式，假设该项目启动再次是GKM图。此外，我们可以从Guillemin-sabatini-Zara的意义上研究投影性GKM纤维束的实现，可以从腿部束的项目化中获得。
In this paper, we introduce the GKM theoretical counterpart of the equivariant complex vector bundles as the "leg bundle". We also provide a definition for the projectivization of a leg bundle and prove the Borel-Hirzebruch type formula for its graph equivariant cohomology, assuming that the projectivization is again a GKM graph. Furthermore, we study the realization of the projective GKM fiber bundle, in the sense of Guillemin-Sabatini-Zara, can be obtained from the projectivization of a leg bundle.
