2014/06/11 by Alexey Ananyevskiy, Ananyevskiy, Alexey
Mathematics · #14F42 #14F99 #19G12 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14F42 #msc:14F99 #msc:19G12
paper · pdf · doi:10.48550/arxiv.1406.2894
19 pages, final version, to appear in Manuscripta Math. Some details on straightforward computations removed (see previous version)
arxiv created 2015/10/23 · arxiv updated 2015/10/26
We present a geometric construction of push-forward maps along projective morphisms for cohomology theories representable in the stable motivic homotopy category assuming that the element corresponding to the stable Hopf map is inverted in the coefficient ring of the theory. The construction is parallel to the one given by A. Nenashev for derived Witt groups. Along the way we introduce cohomology groups twisted by a formal difference of vector bundles as cohomology groups of a certain Thom space and compute twisted cohomology groups of projective spaces.