Periodic Cohomology Theories Defined by Elliptic Curves
Periodic Cohomology Theories Defined by Elliptic Curves
复制标题
椭圆曲线定义的周期上同调理论
DOI：
--
复制
发表时间：
2004
期刊：
影响因子：
--
通讯作者：
R. Stong
中科院分区：
文献类型：
--
作者：
P. Landweber;D. Ravenel;R. Stong
我们使用协边理论来构造周期上同调理论，我们称之为椭圆上同调，其中点的上同调是模函数的环。这些都是复杂的导向乘法上同调理论，与正式团体有关的普遍椭圆属研究了一些作者（[CC，LS，O，W1，Z]）。我们无法找到这些理论的几何描述。
We use bordism theory to construct periodic cohomology theories, which we call elliptic cohomology, for which the cohomology of a point is a ring of modular functions. These are complex-oriented multiplicative cohomology theories, with formal groups associated to the universal elliptic genus studied by a number of authors ([CC, LS, O, W1, Z]). We are unable to find a geometric description for these theories.