Differential Equivariant K-Theory
Differential Equivariant K-Theory
复制标题
微分等变K理论
DOI：
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发表时间：
2009
期刊：
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通讯作者：
M. Ortiz
中科院分区：
文献类型：
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作者：
M. Ortiz
在Hopkins和Singer的基础上，给出了有限群作用下光滑流形的微分等变k理论的定义。给出了微分等变k理论的环结构。我们还构造了一个与等变k理论中的拓扑正推相似的正推映射。对点的微分等变k理论的推进的解析公式进行了推测，并在边界情况、自由作用情况和一般的常微分k理论下进行了证明。后一种证明是由K. Klonoff提出的。
Following Hopkins and Singer, we give a definition for the differential equivariant K-theory of a smooth manifold acted upon by a finite group. The ring structure for differential equivariant K-theory is developed explicitly. We also construct a pushforward map which parallels the topological pushforward in equivariant K-theory. An analytic formula for the pushforward to the differential equivariant K-theory of a point is conjectured, and proved in the boundary case, in the case of a free action, and for ordinary differential K-theory in general. The latter proof is due to K. Klonoff.