Topological Hochschild Homology

By R. Schwänzl, R. Vogt, F. Waldhausen. 2000

146 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Mathematical Physics, Neurology

View Paper: https://www.semanticscholar.org/paper/1b1db60bdacf98055446e762fcc0831b5046cb7c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Andrew Justin Blumberg
2. Jon P. May
3. Bertrand Toën
4. S. Schwede
5. Michael A. Mandell
6. B. Shipley
7. D. Gepner
8. Clark Barwick

In Mathematical Physics

1. Andrew Justin Blumberg
2. Jon P. May
3. S. Schwede
4. Michael A. Mandell
5. D. Gepner
6. Bertrand Toën
7. Clark Barwick
8. Christian Schlichtkrull

In Neurology

1. B. Shipley
2. Andrew Justin Blumberg
3. Michael A. Mandell
4. S. Schwede
5. Jon P. May
6. Bertrand Toën
7. Christian Schlichtkrull

Citations in the corpus

• On the homotopy groups of symmetric spectra (2006, methodology): “We recall Shipley’s construction from [7, Section 3], which is inspired by Bökstedt’s use of a homotopy colimit over the category I in the original definition of topological Hochschild homology [1].”
• Derived algebraic geometry (2014, methodology): “This has been later pursued with the introduction of Hochschild and cyclic homology for ring spectra, also called topological Hochschild and topological cyclic homology, together with a Chern character map (see for instance [19, 20, 99, 113]).”
• Model Categories of Diagram Spectra (2001, methodology): “The notion of an FSP was introduced by Bökstedt [6], who used it to define topological Hochschild homology.”
• Units of ring spectra and their traces in algebraic K-theory (2004, methodology): “This gives rise to the trace map tr : K(R)→ THH(R), where the target is the topological Hochschild homology first defined by Bökstedt [6].”
• Localization theorems in topological Hochschild homology and topological cyclic homology (2008, methodology): “These hypotheses appeared necessary at the time to analyze the homotopy colimits arising in Bökstedt’s construction of THH .”
• Rings, Modules, and Algebras in Stable Homotopy Theory (2007, background): “Our analogue of Bökstedt’s topological Hochschild homology [8] is under active investigation by a number of people, and we shall just lay the foundations.”
• Symmetric Spectra and Topological Hochschild Homology (2000, background): “We now define THH following B ̈ okstedt’s definition in [1].”
• Derived Algebraic Geometry (2014, methodology): “This has been later pursued with the introduction of Hochschild and cyclic homology for ring spectra, also called topological Hochschild and topological cyclic homology, together with a Chern character map (see for instance [19, 20, 99, 113]).”