Slices of motivic Landweber spectra

2008/05/21 by Markus Spitzweck, Spitzweck, Markus · 2 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Algebraic structures and combinatorial models

paper · pdf · doi:10.48550/arxiv.0805.3350

Abstract

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.

Cited by

• Relations between slices and quotients of the algebraic cobordism spectrum
• Periodizable motivic ring spectra

Related

• Relations between slices and quotients of the algebraic cobordism spectrum
• The slice spectral sequence for a motivic analogue of the connective K(1)-local sphere
• Motivic Landweber Exactness
• On Voevodsky's algebraic K-theory spectrum BGL
• Motivic Landweber exact theories and their effective covers