Homology, Homotopy and Applications
Volume 12 (2010)
Relations between slices and quotients of the algebraic cobordism spectrum
Pages: 335 – 351
We prove a relative statement about the slices of the algebraic cobordism spectrum. If the map from MGL to a certain quotient of MGL introduced by Hopkins and Morel is the map to the zero-slice then a relative version of Voevodsky's conjecture on the slices of MGL holds true. We outline the picture for K-theory and rational slices.
slice; algebraic cobordism spectrum; K-theory
2010 Mathematics Subject Classification
14F42, 19E20, 55N22