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Algebraic & Geometric Topology
Article . 2012 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2011
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Modular isogeny complexes

Authors: Rezk, Charles;

Modular isogeny complexes

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.

Minor revisions for publication

Keywords

elliptic schemes, \(K\)-theory operations and generalized cohomology operations in algebraic topology, Mathematics - Algebraic Geometry, 11G18 (Primary) 55N34, 55S25, 11G15 (Secondary), 55N34, Elliptic cohomology, power operations, Morava E–theory, elliptic curves, FOS: Mathematics, cohomology, Algebraic Topology (math.AT), 11G15, Families, moduli of curves (algebraic), Mathematics - Algebraic Topology, Morava E-theory, 11G18, Algebraic Geometry (math.AG), 55S25

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
Green
bronze