Localization sequences for logarithmic topological Hochschild homology

DOI10.1007/s00208-015-1202-3zbMath1329.14039arXiv1402.1317OpenAlexW2085432581MaRDI QIDQ889958

Steffen Sagave, Christian Schlichtkrull, John Rognes

Publication date: 9 November 2015

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.1317

zbMATH Keywords

\(K\)-theorytopological cyclic homologytopological Hochschild homologycofiber sequence

Mathematics Subject Classification ID

(K)-theory and homology; cyclic homology and cohomology (19D55) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Related Items (9)

Logarithmic structures on topological \(K\)-theory spectra ⋮ On the Brun spectral sequence for topological Hochschild homology ⋮ Localization sequences for logarithmic topological Hochschild homology ⋮ Detecting and describing ramification for structured ring spectra ⋮ A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology ⋮ Localization for 𝑇𝐻𝐻(𝑘𝑢) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories ⋮ Parabolic semi-orthogonal decompositions and Kummer flat invariants of log schemes ⋮ On the relationship between logarithmic TAQ and logarithmic THH ⋮ Virtual vector bundles and graded Thom spectra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spectra of units for periodic ring spectra and group completion of graded \(E_\infty\) spaces
• Algebraic \(K\)-theory of the first Morava \(K\)-theory
• Diagram spaces and symmetric spectra
• Thom spectra that are symmetric spectra
• Localization sequences for logarithmic topological Hochschild homology
• The localization sequence for the algebraic \(K\)-theory of topological \(K\) -theory
• On the \(p\)-typical curves in Quillen's \(K\)-theory
• Relative algebraic \(K\)-theory and topological cyclic homology
• Relative \(K\)-theory and topological cyclic homology
• On the \(K\)-theory of local fields
• Algebraic \(K\)-theory of topological \(K\)-theory
• On the \(K\)-theory of finite algebras over Witt vectors of perfect fields
• Group completion and units in \(\mathcal I\)-spaces
• On the cohomology and K-theory of the general linear groups over a finite field
• Hopf algebra structure on topological Hochschild homology
• Logarithmic structures on topological \(K\)-theory spectra
• Model Categories of Diagram Spectra
• Topological Hochschild homology of connective complex K -theory
• Logarithmic structures of Fontaine-Illusie. II
• Higher algebraic K-theory: I
• Filtrations on the homology of algebraic varieties
• Symmetric spectra
• Localization for 𝑇𝐻𝐻(𝑘𝑢) and the Topological Hochschild and Cyclic Homology of Waldhausen Categories
• S-modules and symmetric spectra

This page was built for publication: Localization sequences for logarithmic topological Hochschild homology