Isogenies, power operations, and homotopy theory

被引：0

作者：

Rezk, Charles ^{[1
]}

机构：

[1] Univ Illinois, Urbana, IL 61801 USA

来源：

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL II | 2014年

关键词：

Homotopy theory; formal groups; power operations; FORMAL GROUP LAWS; MORAVA E-THEORY; K-THEORY; COHOMOLOGY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The modern understanding of the homotopy theory of spaces and spectra is organized by the chromatic philosophy, which relates phenomena in homotopy theory with the moduli of one-dimensional formal groups. In this paper, we describe how certain phenomena K(n)-local homotopy can be computed from knowledge of isogenies of deformations of formal groups of height n.

引用

页码：1125 / 1145

页数：21

共 44 条

[1] The sigma orientation is an H∞ map [J].