Relations between slices and quotients of the algebraic cobordism spectrum

Details Relations between slices and quotients of the algebraic cobordism spectrum Relations between slices and quotients of the algebraic cobordism spectrum

2008-12-03

arxiv.org/abs/0812.0749v3

Mathematics

Algebraic Geometry

15 pages; misprints corrected

Scientific paper

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.

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