site stats

Bivariant theories in motivic stable homotopy

WebJan 16, 2024 · stable homotopy homology theory is the homology theory represented by the sphere spectrum. ordinary homology is the homology theory represented by an Eilenberg-MacLane spectrum. bordism homology theory is the homology theory represented by a Thom spectrum; Related concepts. generalized cohomology. … WebOct 10, 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 theory, and …

[1705.01528] Bivariant theories in motivic stable …

WebThe theory of presheaves with transfers and more specifically homotopy invariant presheaves with transfers is the main theme of the second paper. The Friedlander-Lawson moving lemma for families of algebraic cycles appears in the third paper in which a bivariant theory called bivariant cycle cohomology is constructed. WebMay 15, 2024 · We develop the theory of fundamental classes in the setting of motivic homotopy theory. Using this we construct, for any motivic spectrum, an associated bivariant theory in the sense of Fulton-MacPherson. We import the tools of Fulton's intersection theory into this setting: (refined) Gysin maps, specialization maps, and … newlay stone https://roofkingsoflafayette.com

MOTIVIC HOMOTOPY THEORY AND CELLULAR SCHEMES

WebFeb 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 … WebOct 10, 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 theory, and more generally in the broader framework of the Grothendieck six functors formalism. We introduce several kinds of bivariant theories associated with a suitable ring spectrum, and we … 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 … int list type hint python

Cycles, Transfers and Motivic Homology Theories - Google Books

Category:Algebraic Kasparov K-theory, II - Project Euclid

Tags:Bivariant theories in motivic stable homotopy

Bivariant theories in motivic stable homotopy

Open Problems in the Motivic Stable Homotopy Theory, I

http://deglise.perso.math.cnrs.fr/docs/2014/beijing.pdf http://deglise.perso.math.cnrs.fr/docs/2024/bivariant.pdf

Bivariant theories in motivic stable homotopy

Did you know?

WebMay 3, 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 theory, and … WebMar 2, 2015 · motivic cohomology. References. Marc Levine, Mixed Motives, Handbook of K-theory . Denis-Charles Cisinski, Frédéric Déglise, Local and stable homological algebra in Grothendieck abelian categories, arXiv. Section 8.3 of. Alain Connes, Matilde Marcolli, Noncommutative Geometry, Quantum Fields and Motives

WebMay 3, 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 theory, and … WebarXiv:1705.01528v1 [math.AG] 3 May 2024 BIVARIANT THEORIES IN MOTIVIC STABLE HOMOTOPY FRED´ ERIC D´ ´EGLISE Abstract. The purpose of this work is to study the notion of bivaria

Web4. The dimensional homotopy t-structure 15 5. The minus A1-derived category and Witt motives 18 6. Rational stable homotopy and Milnor–Witt motives 23 7. SL-Orientations 24 8. Bivariant A1-theory and Chow–Witt groups 28 Appendix A. Continuity in motivic ∞-categories 33 Appendix B. Essentially of finite presentation morphisms 35 B.1. WebBesides, thanks to the work of the motivic homotopy community, there are now many examples of such triangulated categories.2 Absolute ring spectra and bivariant …

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 …

Webstable 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 newlay walling stoneWebthe 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- new lays potato chip commercialWebIn 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 … newlay weir consultationWebMotivic stable homotopy and cohomology theories 7 1.3. Absolute purity 9 1.4. Orientation theory: characteristic and fundamental classes 10 ... Motivic categories and bivariant theories 77 3.1. Motivic categories 77 3.1.1. The axiomatic 77 3.1.2. Exceptional functors 84 3.1.3. Relative purity 85 3.2. Borel-Moore homology 85 new lays potato chip flavors 2018WebThe 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 … new lay\u0027s flavors 2022WebCohomology theories in algebraic geometry The motivic stable homotopy category Six functors formalism For any scheme X, the triangulated category SH(X) is closed … new lays logoWebThe 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 … new lays layers