Quasi-elliptic cohomology and its power operations

IF 0.5 4区数学 Q2 MATHEMATICS Journal of Homotopy and Related Structures Pub Date : 2018-03-07 DOI:10.1007/s40062-018-0201-y

Zhen Huan

引用次数: 14

Abstract

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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拟椭圆上同调及其幂运算

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

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