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On the BP-homology of 2e × 2e

Published online by Cambridge University Press:  23 July 2008

Leticia Zárate
Leticia Zárate
Affiliation:
Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14–740, 07000 México City, D.F., leticia@math.cinvestav.mx.
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Abstract

We study υ0- and υ1-divisibility properties of the [2e]-series associated to the universal 2-typical formal group law. This allows us to identify elements annihilating the toral class τ in BP*(2e × 2e). We conjecture that these elements form a minimal system of generators of the annihilator ideal of τ. This would provide a Landweber-type presentation for the BP-homology of 2e × 2e from which the relation hom:dimBP (Z2e × Z2e) = 2 would be an easy consequence.

Keywords

2-typical [2e]-seriesConner-Floyd conjecture
Type
Research Article
Information
Journal of K-Theory , Volume 3 , Issue 3 , June 2009 , pp. 409 - 435
Copyright
Copyright © ISOPP 2009

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