Bivariant theories in motivic stable homotopy
Web∗,⋆1hold in every other theory representable in the stable motivic homotopy category, such as algebraic cobordism, algebraic and hermitian K-theory, motivic cohomology, and higher Witt theory. In an influential result, Morel identified the endomorphism ring of the motivic sphere with the Grothendieck-Witt ring GW(F)that encodes the Webthe´etale setting (torsion and ℓ-adic coefficients). Besides, thanks to the work of the motivic homotopy community, there are now many examples of such triangulated categories.2 …
Bivariant theories in motivic stable homotopy
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Webto build E out of motivic Eilenberg-MacLane spectra by looking at the mo-tivic homotopy groups of E. There is a spectral sequence which starts with cohomology with coefficients in the sheaves of motivic homotopy groups of E and converges to the theory represented by E but the cohomology with coefficients in the sheaves of homotopy groups are ...
Webto build E out of motivic Eilenberg-MacLane spectra by looking at the mo-tivic homotopy groups of E. There is a spectral sequence which starts with cohomology with coefficients … http://deglise.perso.math.cnrs.fr/docs/2024/bivariant.pdf
WebIn mathematics, a bivariant theory was introduced by Fulton and MacPherson (Fulton & MacPherson 1981), in order to put a ring structure on the Chow group of a singular … WebMay 25, 2024 · The stable motivic homotopy category also satisfies the six functors formalism (see [2]). Moreover, it satisfies a suitable uni versal property [ 62 ] and contains the classical theories
WebBivariant Theories in Motivic Stable Homotopy Doc. Math. 23, 997-1076 (2024) DOI: 10.25537/dm.2024v23.997-1076. Summary. The purpose of this work is to study the notion of bivariant theory introduced by Fulton and MacPherson in the context of motivic stable homotopy theory, and more generally in the broader framework of the Grothendieck six ...
WebThe purpose of this work is to study the notion of bivariant theory introduced by Fulton and MacPherson in the context of motivic stable homotopy theory, and more generally in … solidworks save sheet formatWebThe purpose of this work is to study the notion of bivariant theory introduced by Fulton and MacPherson in the context of motivic stable homotopy theory, and more generally in the broader framework of the Grothendieck … solidworks scale an assemblyWebFeb 25, 2024 · The purpose of this work is to study the notion of bivariant theory introduced by Fulton and MacPherson in the context of motivic stable homotopy … solidworks scale part smallerWebstable motivic homotopy theory, thereby obtaining a universal bivariant theory. In order to treat oriented and non-oriented spectra in a single theory, we have to replace Tate twists, as used for example in the Bloch{Ogus axiomatic, by \Thom twists", i.e., twists with respect to vector bundles solidworks save weldment profileWebarXiv:1705.01528v2 [math.AG] 10 Sep 2024 BIVARIANT THEORIES IN MOTIVIC STABLE HOMOTOPY FRED´ ERIC D´ ´EGLISE Abstract. The purpose of this work is to study the notion of bivari solidworks scale down entire partWebThe purpose of this work is to study the notion of bivariant theory introduced by Fulton and MacPherson in the context of motivic stable homotopy theory, and more generally in … solidworks scaling issuesWebthe etale setting (torsion and ‘-adic coe cients). Besides, thanks to the work of the motivic homotopy community, there are now many examples of such triangulated categories.2 Absolute ring spectra and bivariant theories. From classical and motivic homotopy theories, we retain the notion of a ring spectrum but use a version adapted to our theo- small baby shower ideas at home