THE TOM DIECK SPLITTING THEOREM IN EQUIVARIANT MOTIVIC HOMOTOPY THEORY

DOI10.1017/S1474748021000372MaRDI QIDQ5886986

Jeremiah Heller, David Gepner

Publication date: 14 April 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.11485

zbMATH Keywords

equivariant homotopy theorymotivic homotopy theorytom Dieck splittingAdams isomorphism

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Equivariant homotopy theory in algebraic topology (55P91) Motivic cohomology; motivic homotopy theory (14F42) Relations between equivariant and nonequivariant homotopy theory in algebraic topology (55P92)

Related Items (2)

On distributivity in higher algebra I: the universal property of bispans ⋮ Bredon motivic cohomology of the complex numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The six operations in equivariant motivic homotopy theory
• \(\mathbb A^1\)-algebraic topology over a field
• \(K\)-theory and the bridge from motives to noncommutative motives
• Univalence in locally Cartesian closed categories
• The homotopy limit problem for Hermitian \(K\)-theory, equivariant motivic homotopy theory and motivic real cobordism
• Universality of multiplicative infinite loop space machines
• Equivariant stable homotopy and Segal's Burnside ring conjecture
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Orbittypen und äquivariante Homologie. II
• cdh descent in equivariant homotopy \(K\)-theory
• Homotopy theory of simplicial sheaves in completely decomposable topologies
• The Morel-Voevodsky localization theorem in spectral algebraic geometry
• Affine representability results in \(\mathbb{A}^1\)-homotopy theory. I: Vector bundles.
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
• On the Adams isomorphism for equivariant orthogonal spectra
• On the nonexistence of elements of Kervaire invariant one
• Existence and properties of geometric quotients
• Norms in motivic homotopy theory
• Motivic homotopy theory of group scheme actions
• Voevodsky's Lectures on Motivic Cohomology 2000/2001
• Generalized Tate cohomology
• Motivic and real étale stable homotopy theory
• A primer for unstable motivic homotopy theory
• Topological comparison theorems for Bredon motivic cohomology
• Higher Topos Theory (AM-170)
• \(\mathbb{A}^1\)-homotopy theory of schemes

This page was built for publication: THE TOM DIECK SPLITTING THEOREM IN EQUIVARIANT MOTIVIC HOMOTOPY THEORY