论文标题
FKMM不变的新灯及其后果
A new light on the FKMM invariant and its consequences
论文作者
论文摘要
“ Quaternionic”矢量束是描述量子系统的拓扑阶段的对象，该量子系统受到奇怪的时间反转对称性（AII类）。在这项工作中，我们证明FKMM不变性为“ Quaternionic”矢量束的分类提供了正确的基本特征类别，而尺寸小于或等于三个（低维度）。从布雷登（Bredon）eproivariant的共同体的角度来解释FKMM不变的解释提供了新的见解。这一事实以及均衡均匀理论的基本结果使我们能够实现预期的结果。
"Quaternionic" vector bundles are the objects which describe the topological phases of quantum systems subjected to an odd time-reversal symmetry (class AII). In this work we prove that the FKMM invariant provides the correct fundamental characteristic class for the classification of "Quaternionic" vector bundles in dimension less than, or equal to three (low dimension). The new insight is provided by the interpretation of the FKMM invariant from the viewpoint of the Bredon equivariant cohomology. This fact, along with basic results in equivariant homotopy theory, allows us to achieve the expected result.
