 

John Carter
The Morava KTheory EilenbergMoore spectral sequence


Published: 
October 3, 2008

Keywords: 
Morava Ktheory, EilenbergMoore spectral sequence, Rector's construction 
Subject: 
57T35 


Abstract
In this article I consider the convergence of the
EilenbergMoore spectral sequence for Morava Ktheory. This
spectral sequence can be constructed by applying Morava Ktheory
to D. L. Rector's geometric cobar construction of the
EilenbergMoore spectral sequence. I have shown that the
EilenbergMoore spectral sequence for Morava Ktheory converges
if the EilenbergMoore spectral sequence for ordinary homology
collapses at E^{2} and the homology satisfies certain finiteness
conditions.


Author information
Franklin and Marshall College, Department of Mathematics, P.O. Box 3003, Lancaster, PA 176043003, USA
jcarter@fandm.edu

