Some recent advances in topological Hochschild homology
A Mathew - Bulletin of the London Mathematical Society, 2022 - Wiley Online Library
Some recent advances in topological Hochschild homology - Mathew - 2022 - Bulletin of the
London Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …
London Mathematical Society - Wiley Online Library Skip to Article Content Skip to Article …
Topological Hochschild homology and higher characteristics
J Campbell, K Ponto - Algebraic & Geometric Topology, 2019 - msp.org
We show that an important classical fixed-point invariant, the Reidemeister trace, arises as a
topological Hochschild homology transfer. This generalizes a corresponding classical result …
topological Hochschild homology transfer. This generalizes a corresponding classical result …
Localization theorems in topological Hochschild homology and topological cyclic homology
AJ Blumberg, MA Mandell - Geometry & Topology, 2012 - msp.org
We construct localization cofibration sequences for the topological Hochschild homology
(THH) and topological cyclic homology (TC) of small spectral categories. Using a global …
(THH) and topological cyclic homology (TC) of small spectral categories. Using a global …
Topological Hochschild homology and the cyclic bar construction in symmetric spectra
I Patchkoria, S Sagave - Proceedings of the American Mathematical …, 2016 - ams.org
The cyclic bar construction in symmetric spectra and Bökstedt's original construction are two
possible ways to define the topological Hochschild homology of a symmetric ring spectrum …
possible ways to define the topological Hochschild homology of a symmetric ring spectrum …
Filtered topological cyclic homology and relative K–theory of nilpotent ideals
M Brun - Algebraic & Geometric Topology, 2001 - msp.org
In this paper certain filtrations of topological Hochschild homology and topological cyclic
homology are examined. As an example we show how the filtration with respect to a …
homology are examined. As an example we show how the filtration with respect to a …
Localization sequences for logarithmic topological Hochschild homology
We study the logarithmic topological Hochschild homology of ring spectra with logarithmic
structures and establish localization sequences for this theory. Our results apply, for …
structures and establish localization sequences for this theory. Our results apply, for …
[PS][PS] Hochschild and cyclic homology via functor homology
T Pirashvili, B Richter - 2001 - archive.mpim-bonn.mpg.de
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On topological Hochschild homology of the ‐local sphere
G Angelini‐Knoll - Journal of Topology, 2021 - Wiley Online Library
We compute mod (p, v 1) topological Hochschild homology of the connective cover of the K
(1)‐local sphere spectrum for all primes p⩾ 3. This is accomplished using a May‐type …
(1)‐local sphere spectrum for all primes p⩾ 3. This is accomplished using a May‐type …
K-theory theorems in topological cyclic homology
BI Dundas - Journal of Pure and Applied Algebra, 1998 - Elsevier
Topological cyclic homology serves as an approximation to algebraic K-theory. It is more
accessible to calculations, but how well does it reflect the structural properties of K-theory …
accessible to calculations, but how well does it reflect the structural properties of K-theory …
Topological Hochschild homology and the Hasse-Weil zeta function
L Hesselholt - arXiv preprint arXiv:1602.01980, 2016 - arxiv.org
We consider the Tate cohomology of the circle group acting on the topological Hochschild
homology of schemes. We show that in the case of a scheme smooth and proper over a …
homology of schemes. We show that in the case of a scheme smooth and proper over a …