拟椭圆上同调及其幂运算

Pub Date : 2018-03-07 DOI:10.1007/s40062-018-0201-y

Zhen Huan

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引用次数: 14

摘要

拟椭圆上同调是Tate k理论的一个变体。它是常数环空间的轨道k理论。对于全局商轨道，可以用等变k理论表示。在本文中，我们展示了如何将这一理论与动力运算相结合。并证明了对称群模于某转移理想的Tate k理论对Tate曲线的有限子群进行了分类。

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Quasi-elliptic cohomology and its power operations

Quasi-elliptic cohomology is a variant of Tate K-theory. It is the orbifold K-theory of a space of constant loops. For global quotient orbifolds, it can be expressed in terms of equivariant K-theories. In this paper we show how this theory is equipped with power operations. We also prove that the Tate K-theory of symmetric groups modulo a certain transfer ideal classify the finite subgroups of the Tate curve.

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