On the motivic spectra representing algebraic cobordism and algebraic $K$-theory
By D. Gepner, V. Snaith. Documenta Mathematica, 2007
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We show that the motivic spectrum representing alge- braic K-theory is a localization of the suspension spectrum of P ∞ , and similarly that the motivic spectrum representing periodic alge- braic cobordism is a localization of the suspension spectrum of BGL. In particular, working over C and passing to spaces of C-valued points, we obtain new proofs of the topological versions of these theorems, originally due to the second author. We conclude with a couple of applications: first, we give a short proof of the motivic Conner-Floyd theorem, and second, we show that algebraic K-theory and periodic algebraic cobordism are E∞ motivic spectra.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/0e391787b8d1da8a71bdfbcce3ef4628c0ddf7e7
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- La réalisation étale et les opérations de Grothendieck (2014, background): “Nous prendrons une voie r ap de et facile qui repose le modèle de BGL fournit par [16] et [44].”