## Algebraic & Geometric Topology

### Modular isogeny complexes

Charles Rezk

#### 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 $2$.

#### Article information

Source
Algebr. Geom. Topol., Volume 12, Number 3 (2012), 1373-1403.

Dates
Revised: 18 March 2012
Accepted: 10 April 2012
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715402

Digital Object Identifier
doi:10.2140/agt.2012.12.1373

Mathematical Reviews number (MathSciNet)
MR2966690

Zentralblatt MATH identifier
1254.14030

#### Citation

Rezk, Charles. Modular isogeny complexes. Algebr. Geom. Topol. 12 (2012), no. 3, 1373--1403. doi:10.2140/agt.2012.12.1373. https://projecteuclid.org/euclid.agt/1513715402

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