Orientable homotopy modules

Details Orientable homotopy modules Orientable homotopy modules

2010-05-23

arxiv.org/abs/1005.4187v1

Mathematics

Algebraic Geometry

27 pp

Scientific paper

We prove a conjecture of Morel identifying Voevodsky's homotopy invariant sheaves with transfers with spectra in the stable homotopy category which are concentrated in degree zero for the homotopy t-structure and have a trivial action of the Hopf map. This is done by relating these two kind of objects to Rost's cycle modules. Applications to algebraic cobordism and construction of cycle classes are given.

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