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conner-floyd conjecture

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On the BP-homology of 2e × 2e
Leticia Zárate
Journal:

Journal of K-Theory / Volume 3 / Issue 3 / June 2009

Published online by Cambridge University Press:

23 July 2008, pp. 409-435

Print publication:

June 2009
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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.