4 research outputs found
The Milnor-Witt motivic ring spectrum and its associated theories
We build a ring spectrum representing Milnor-Witt motivic cohomology, as well
as its \'etale local version and show how to deduce out of it three other
theories: Borel-Moore homology, cohomology with compact support and homology.
These theories, as well as the usual cohomology, are defined for singular
schemes and satisfy the properties of their motivic analog (and more), up to
considering more general twists. In fact, the whole formalism of these four
theories can be functorially attached to any ring spectrum, giving finally maps
between the Milnor-Witt motivic ones to the classical motivic ones.Comment: 28 pages. Comments welcom
Serological and molecular maternal results.
<p>Serological and molecular maternal results.</p