Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 5 (2018), 2593-2660.
A May-type spectral sequence for higher topological Hochschild homology
Given a filtration of a commutative monoid in a symmetric monoidal stable model category , we construct a spectral sequence analogous to the May spectral sequence whose input is the higher order topological Hochschild homology of the associated graded commutative monoid of , and whose output is the higher order topological Hochschild homology of . We then construct examples of such filtrations and derive some consequences: for example, given a connective commutative graded ring , we get an upper bound on the size of the –groups of –ring spectra such that .
Algebr. Geom. Topol., Volume 18, Number 5 (2018), 2593-2660.
Received: 1 December 2016
Revised: 28 January 2018
Accepted: 3 March 2018
First available in Project Euclid: 30 August 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 18G30: Simplicial sets, simplicial objects (in a category) [See also 55U10] 19D55: $K$-theory and homology; cyclic homology and cohomology [See also 18G60] 55P42: Stable homotopy theory, spectra
Secondary: 55T05: General
Angelini-Knoll, Gabe; Salch, Andrew. A May-type spectral sequence for higher topological Hochschild homology. Algebr. Geom. Topol. 18 (2018), no. 5, 2593--2660. doi:10.2140/agt.2018.18.2593. https://projecteuclid.org/euclid.agt/1535594418