The Morita equivalence between parametrized spectra and module spectra

DOI10.1090/conm/707/14253zbMath1502.55014arXiv1702.07794OpenAlexW2963769218MaRDI QIDQ4686264

John A. Lind, Cary Malkiewich

Publication date: 9 October 2018

Published in: New Directions in Homotopy Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.07794

Mathematics Subject Classification ID

Abstract and axiomatic homotopy theory in algebraic topology (55U35) Fibrewise topology (55R70) Equivariant homotopy theory in algebraic topology (55P91) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Related Items (2)

The transfer map of free loop spaces ⋮ Topological Hochschild homology and higher characteristics

Cites Work

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• Bundles of spectra and algebraic \(K\)-theory
• Manifold calculus and homotopy sheaves
• Diagram spaces and symmetric spectra
• Calculus of functors and model categories. II
• Bar and cobar constructions. II
• The homotopy category of parametrized spectra
• Waldhausen \(K\)-theory of spaces via comodules
• Duality and transfer for parametrized spectra
• Calculus. III: Taylor series
• Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map
• Stable model categories are categories of modules
• Diagram spaces, diagram spectra and spectra of units
• Left fibrations and homotopy colimits
• Cyclotomic structure in the topological Hochschild homology of \(DX\)
• The multiplicativity of fixed point invariants
• Parametrized spaces model locally constant homotopy sheaves
• Calculus of functors and model categories
• Duality and traces for indexed monoidal categories
• Locally constant functors
• Stable Homotopy Theory of Simplicial Presheaves
• Equivariant Maps Which are Self Homotopy Equivalences
• Higher algebraic K-theory: I
• Classifying spaces and fibrations
• The transfer map of free loop spaces
• The abstract cotangent complex and Quillen cohomology of enriched categories
• Higher Topos Theory (AM-170)
• Universal homotopy theories

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