A multiplicative K-theoretic model of Voevodsky’s motivic K-theory spectrum

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2018-11-28 DOI:10.1007/s40062-018-0227-1

Youngsoo Kim

引用次数: 0

Abstract

Voevodsky defined a motivic spectrum representing algebraic K-theory, and Panin, Pimenov, and R?ndigs described its ring structure up to homotopy. We construct a motivic symmetric spectrum with a strict ring structure. Then we show that these spectra are stably equivalent and that their ring structures are compatible up to homotopy.

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Voevodsky的动机k理论谱的乘法k理论模型

Voevodsky定义了一个表示代数k理论的动力谱，Panin、Pimenov和R?Ndigs描述了它的环结构直至同伦。构造了一个具有严格环结构的动力对称谱。然后我们证明了这些谱是稳定等效的，并且它们的环结构是相容的，直至同伦。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.