Relations between slices and quotients of the algebraic cobordism spectrum

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231311We 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.15 pages; misprints correctedAlgebraic GeometryAlgebraic Topology14F42Relations between slices and quotients of the algebraic cobordism spectrumtext