Localization sequences for logarithmic topological Hochschild homology

Abstract

We study the logarithmic topological Hochschild homology of ring spectra with logarithmic structures and establish localization sequences for this theory. Our results apply, for example, to connective covers of periodic ring spectra like real and complex topological K-theory.

v3: 40 pages; minor changes, accepted for publication in Mathematische Annalen

References in corpus (3)

• The localization sequence for the algebraic K-theory of topological K-theory
• Logarithmic topological Hochschild homology of topological K-theory spectra
• Regularity of structured ring spectra and localization in K-theory

Cited by in corpus (6)

• Logarithmic topological Hochschild homology of topological K-theory spectra
• Algebraic K-theory of strict ring spectra
• On the Brun spectral sequence for topological Hochschild homology
• Generalized Thom spectra and their topological Hochschild homology
• Virtual vector bundles and graded Thom spectra
• On Deformation Theory in Higher Logarithmic Geometry