论文标题
复杂拓扑K理论中的大量操作
The plethory of operations in complex topological K-theory
论文作者
论文摘要
我们为代数结构的拓扑，分级的类似物提供了一个具体的介绍，该结构最初是由于高个子和幽灵而被称为易手的。 Stacey和Whitehouse表明，对于合适的广义共同体学理论的同种学运营，这种结构存在。我们计算了用于复杂拓扑K理论的大量操作的明确表达。这是根据对对应于操作循环的结构增强的盛行来提出的。在这种情况下，我们表明熟悉的Lambda操作生成了所有操作。
We provide a concrete introduction to the topologised, graded analogue of an algebraic structure known as a plethory, originally due to Tall and Wraith. Stacey and Whitehouse showed this structure is present on the cohomology operations for a suitable generalised cohomology theory. We compute an explicit expression for the plethory of operations for complex topological K-theory. This is formulated in terms of a plethory enhanced with structure corresponding to the looping of operations. In this context we show that the familiar lambda operations generate all the operations.
