Topological Hochschild homology and higher characteristics

DOI10.2140/agt.2019.19.965zbMath1460.16010arXiv1803.01284OpenAlexW3102814970WikidataQ128129500 ScholiaQ128129500MaRDI QIDQ2000787

Jonathan A. Campbell, Kathleen Ponto

Publication date: 28 June 2019

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01284

zbMATH Keywords

topological Hochschild homologyMorita equivalenceReidemeister tracebicategorical trace

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) (K)-theory and homology; cyclic homology and cohomology (19D55) Fixed points and coincidences in algebraic topology (55M20) Transfer for fiber spaces and bundles in algebraic topology (55R12) Other (co)homology theories (category-theoretic aspects) (18G90)

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Cites Work

• Unnamed Item
• Coincidence invariants and higher Reidemeister traces
• Shadows and traces in bicategories
• Localization theorems in topological Hochschild homology and topological cyclic homology
• Cyclic homology, derivations, and the free loopspace
• The transfer map in topological Hochschild homology
• The cyclotomic trace and algebraic K-theory of spaces
• Equivalences of monoidal model categories
• Categories and cohomology theories
• Topological Hochschild homology of ring functors and exact categories
• A universal characterization of higher algebraic \(K\)-theory
• The multiplicativity of fixed point invariants
• Transfer maps and the cyclotomic trace
• Fixed point index and fixed point theorem for Euclidean neighborhood retracts
• The index of elliptic operators. I
• Centerless groups -- an algebraic formulation of Gottlieb's theorem
• Fixpunktklassen. 1
• Model Categories of Diagram Spectra
• On the algebraicK-theory of higher categories
• Duality and traces for indexed monoidal categories
• Fixed point theory and trace for bicategories
• Trace theories and localization
• Trace maps in algebraic K-theory and the Coates-Wiles homomorphism.
• Framed bicategories and monoidal fibrations
• Introduction to bicategories
• The transfer map of free loop spaces
• The Morita equivalence between parametrized spectra and module spectra
• Rank Element of a Projective Module