Commutativity conditions for truncated Brown-Peterson spectra of height 2

Details Commutativity conditions for truncated Brown-Peterson spectra of height 2 Commutativity conditions for truncated Brown-Peterson spectra of height 2

2011-01-20

arxiv.org/abs/1101.3897v3

Mathematics

Algebraic Topology

minor revision, essentially in final form, to appear in Journal of Topology

Scientific paper

An algebraic criterion, in terms of closure under power operations, is
determined for the existence and uniqueness of generalized trun- cated
Brown-Peterson spectra of height 2 as E_\infty-ring spectra. The criterion is
checked for an example at the prime 2 derived from the universal elliptic curve
equipped with a level \Gamma_1(3)-structure.

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