Bivariant theories in motivic stable homotopy

Author: lakm

August undefined, 2024

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 … 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. …

Perverse homotopy heart and MW-modules Request PDF

WebIn algebraic geometry and algebraic topology, branches of mathematics, A 1 homotopy theory or motivic homotopy theory is a way to apply the techniques of algebraic … 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 the broader framework of the Grothendieck … the peddler springfield or

motivic homotopy theory in nLab

WebarXiv: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 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 http://deglise.perso.math.cnrs.fr/docs/2024/bivariant.pdf the peddlers mall in middletown ky

$eLibM – Doc. Math. 23, 997-1076 (2024)$

[1705.01528v3] Bivariant theories in motivic stable …

WebBIVARIANT THEORIES IN MOTIVIC STABLE HOMOTOPY 7 The same thing works for cohomology with compact support but for ho-mology, we only get an exterior product. It … WebTo do this, we rst introduce the fundamentals of motivic homotopy theory, constructing and examining the stable motivic homotopy category which is the general object of study. We then interrogate the analogy between mo-tivic spaces and topological spaces by examining the class of cellular motivic spaces, the appropriate motivic analog of CW ... the peddler spartanburg sc menuWebIn 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 … siam country club bangkok scorecard

"WebMotivic 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 " - Bivariant theories in motivic stable homotopy

Bivariant theories in motivic stable homotopy

http://deglise.perso.math.cnrs.fr/docs/2015/RR_new.pdf http://deglise.perso.math.cnrs.fr/docs/2014/beijing.pdf

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 … 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 …

WebAlgebraic Kasparov K-theory, II Grigory Garkusha A kind of motivic stable homotopy theory of algebras is developed. Explicit ﬁbrant replacements for the S1-spectrum and .S1;G/-bispectrum of an algebra are constructed. As an application, unstable, Morita stable and stable universal bivariant theories are recovered. WebOct 26, 2024 · Bivariant theories in motivic stable homotopy. Jan 2024; DOC MATH; 997-1076, Bivariant theories in motivic stable homotopy, Doc. Math. 23 (2024), 997-1076.

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 WebThe stable motivic homotopy category also satisﬁes the six functors formalism (see [2]). ... Fundamental classes in motivic homotopy theory 3937 the bivariant theories of Fulton and MacPherson [34]. The key element of these axio-matizations was the notion of the fundamental class, which was used to express duality ...

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 ...

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 … the peddler gatlinburg tn menuWebMay 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 … the peddler in raleigh ncWebFeb 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 … siam country club bangkok ราคา the peddlers widowWebBivariant 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 ... siam country club golfWebthe 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- siam country chicagoWebOct 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 … siam country club co. ltd