#### Volume 12, issue 3 (2012)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Modular isogeny complexes

### Charles Rezk

Algebraic & Geometric Topology 12 (2012) 1373–1403
##### Abstract

We describe a vanishing result on the cohomology of a cochain complex associated to the moduli of chains of finite subgroup schemes on elliptic curves. These results have applications to algebraic topology, in particular to the study of power operations for Morava $E$–theory at height $2$.

##### Keywords
power operations, elliptic curves, Morava E–theory
##### Mathematical Subject Classification 2010
Primary: 11G18
Secondary: 55N34, 55S25, 11G15