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A lower bound for coherences on the Brown-Peterson spectrum | | Birgit Richter
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15 Apr 2005 | | Subject: | Algebraic Topology MSC-class: 55P43; 13D03 | math.AT | | Abstract: | We provide a lower bound for the coherence of the homotopy commutativity of the Brown-Peterson spectrum, BP, at a given prime p and prove that it is at least (2p^2 + 2p - 2)-homotopy commutative. As an application we give an easy proof that BP cannot be a Thom spectrum associated to an infinite loop map to BSF. Other examples where we obtain estimates for coherence are the Johnson-Wilson spectra, localized away from the maximal ideal and unlocalized. We close with a negative result on Morava-K-theory. | | Source: | arXiv, math.AT/0504322 | | Services: | Forum | Review | PDF | Favorites | |
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