Výsledky vyhledávání - "Bivariant theory"

Publikováno v: Journal of the European Mathematical Society
Journal of the European Mathematical Society, European Mathematical Society, 2021, ⟨10.4171/JEMS/1094⟩
Journal of the European Mathematical Society, 2021, ⟨10.4171/JEMS/1094⟩

International audience; 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 o

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https://hal.archives-ouvertes.fr/hal-02367094

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A universal bivariant theory and cobordism groups

Autor: Shoji Yokura

Publikováno v: Singularities — Niigata–Toyama 2007, J.-P. Brasselet, S. Ishii, T. Suwa and M. Vaquie, eds. (Tokyo: Mathematical Society of Japan, 2009)

This is a survey on a universal bivariant theory $\mathbb{M}_{\mathcal{S}}^{\mathcal{C}} (X \to Y)$, which is a prototype of a bivariant analogue of Levine–Morel's algebraic cobordism, and its application to constructing a bivariant theory $F\Omega

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https://doi.org/10.2969/aspm/05610363

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On the existence of a Gysin morphism for the Blow-up of an ordinary singularity

Autor: Davide Franco, Vincenzo Di Gennaro

Publikováno v: ANNALI DELL'UNIVERSITA' DI FERRARA. 63:75-86

In this paper we characterize the Blowing-up maps of ordinary singularities for which there exists a natural Gysin morphism, i.e. a bivariant class $\theta \in Hom_{D(Y)}(R\pi_*\mathbb Q_X, \mathbb Q_Y)$, compatible with pullback and with restriction

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https://doi.org/10.1007/s11565-016-0253-z

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Bivariant Theories in Motivic Stable Homotopy

Autor: Frédéric Déglise

Publikováno v: Documenta Mathematica
Documenta Mathematica, Universität Bielefeld, 2018, 23, pp.997-1076. ⟨10.25537/dm.2018v23.997-1076⟩

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 intro

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https://hal-univ-bourgogne.archives-ouvertes.fr/hal-02314874

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