On the motivic spectra representing algebraic cobordism and algebraic -theory.
Gepner, David, Snaith, Victor (2009)
Documenta Mathematica
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Displaying similar documents to “Brown-Peterson spectra in stable -homotopy theory”
On the motivic spectra representing algebraic cobordism and algebraic -theory.
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The paper is devoted to the study of the space of multiplicative maps from the Eilenberg-MacLane spectrum Hℤ to an arbitrary ring spectrum R. We try to generalize the approach of Schwede [Geom. Topol. 8 (2004)], where the case of a very special R was studied. In particular we propose a definition of a formal group law in any ring spectrum, which might be of independent interest.
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On Bott-periodic algebraic K-theory.
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Let K*(A;Z/ln) denote the mod-ln algebraic K-theory of a Z[1/l]-algebra A. Snaith ([14], [15], [16]) has studied Bott-periodic algebraic theory Ki(A;Z/ln)[1/βn], a localized version of K*(A;Z/ln) obtained by inverting a
Realising formal groups.
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