Topological Hochschild homology of $K/p$ as a $K_p^\wedge$ module
نویسندگان
چکیده
منابع مشابه
Filtered Topological Hochschild Homology
In this paper we examine a certain filtration on topological Hochschild homology. This filtration has the virtue that it respects the cyclic structure of topological Hochschild homology, and therefore it is compatible with the cyclotomic structure used to define topological cyclic homology. As an example we show how the skeleton filtration of a simplicial ring gives rise to spectral sequences s...
متن کاملLocalization Theorems in Topological Hochschild Homology and Topological Cyclic Homology
We construct localization cofiber sequences for the topological Hochschild homology (THH) and topological cyclic homology (TC) of spectral categories. Using a “global” construction of the THH and TC of a scheme in terms of the perfect complexes in a spectrally enriched version of the category of unbounded complexes, the sequences specialize to localization cofiber sequences associated to the in...
متن کاملHopf–hochschild (co)homology of Module Algebras
Our goal in this paper is to define a version of Hochschild homology and cohomology suitable for a class of algebras admitting compatible actions of bialgebras, called “module algebras” (Definition 2.1). Our motivation lies in the following problem: for an algebra A which admits a module structure over an arbitrary bialgebra B compatible with its product structure, the Hochschild or the cyclic ...
متن کاملSymplectic Homology as Hochschild Homology
In the wake of Donaldson’s pioneering work [6], Picard-Lefschetz theory has been extended from its original context in algebraic geometry to (a very large class of) symplectic manifolds. Informally speaking, one can view the theory as analogous to Kirby calculus: one of its basic insights is that one can give a (non-unique) presentation of a symplectic manifold, in terms of a symplectic hypersu...
متن کاملSymmetric Spectra and Topological Hochschild Homology
A functor is defined which detects stable equivalences of symmetric spectra. As an application, the definition of topological Hochschild homology on symmetric ring spectra using the Hochschild complex is shown to agree with Bökstedt’s original ad hoc definition. In particular, this shows that Bökstedt’s definition is correct even for non-connective, non-convergent symmetric ring spectra. Mathem...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2017
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2017.v19.n1.a13