497 citations · 1.1k across the 31 of their papers we have counts for
33 papers
Topological coHochschild Homology and the Homology of Free Loop Spaces
Anna Marie Bohmann, Teena Gerhardt, Brooke Shipley
We study the homology of free loop spaces via techniques arising from the theory of topological coHochschild homology (coTHH). Topological coHochschild homology is a topological an…
Invariance properties of coHochschild homology
Kathryn Hess, Brooke Shipley
The notion of Hochschild homology of a dg algebra admits a natural dualization, the coHochschild homology of a dg coalgebra, introduced in arXiv:0711.1023 by Hess, Parent, and Scot…
Coalgebras in symmetric monoidal categories of spectra
Maximilien Péroux, Brooke Shipley
We show that all coalgebras over the sphere spectrum are cocommutative in the category of symmetric spectra, orthogonal spectra, -spaces, -spaces and EKMM $\mathbb{…
Computational Tools for Topological CoHochschild Homology
Anna Marie Bohmann, Teena Gerhardt, Amalie Høgenhaven +2
In recent work, Hess and Shipley defined a theory of topological coHochschild homology (coTHH) for coalgebras. In this paper we develop computational tools to study this new theory…
Rational SO(2)-Equivariant Spectra
D. Barnes, J. P. C. Greenlees, M. Kedziorek +1
We prove that the category of rational SO(2)-equivariant spectra has a simple algebraic model. Furthermore, all of our model categories and Quillen equivalences are monoidal, so we…
An algebraic model for commutative HZ-algebras
Birgit Richter, Brooke Shipley
We show that the homotopy category of commutative algebra spectra over the Eilenberg-Mac Lane spectrum of the integers is equivalent to the homotopy category of E-infinity-monoids…