Secondary power operations and the Brown–Peterson spectrum at the prime 2

نویسنده

  • Tyler Lawson
چکیده

The dual Steenrod algebra has a canonical subalgebra isomorphic to the homology of the Brown–Peterson spectrum. We will construct a secondary operation in mod-2 homology and show that this canonical subalgebra is not closed under it. This allows us to conclude that the 2-primary Brown–Peterson spectrum does not admit the structure of an En -algebra for any n ≥ 12, answering a question of May in the negative.

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تاریخ انتشار 2017