Slices of motivic Landweber spectra

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We show that the Conjecture of Voevodsky concerning slices of the algebraic cobordism spectrum MGL implies a general statement about the slices of motivic Landweber spectra. In particular it confirms the possible approach suggested by Voevodsky for the computation of the slices of the homotopy algebraic K-theory spectrum KGL via a Conner-Floyd isomorphism complementing Levine's unconditional proof of these slices over perfect fields. A similar result, and Voevodsky's conjecture over fields of char. 0, are also announced by Hopkins-Morel.
13 pages, last section replaced, references added

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Algebraic Topology, Algebraic Geometry, 55N20, 14F43, 18E30

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http://salesiana.dossiersoluciones.com/handle/123456789/228105

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.3350
 http://arxiv.org/abs/0805.3350

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arXiv