25 citations · 57 across the 14 of their papers we have counts for
14 papers
Brauer-Wall Groups and Truncated Picard Spectra of -theory
Jonathan Beardsley, Kiran Luecke, Jack Morava
We compute the first two k-invariants of the Picard spectra of and by analyzing their Picard groupoids and constructing their unit spectra as global sections of sheaves o…
Labelled cospan categories and properads
Jonathan Beardsley, Philip Hackney
We prove Steinebrunner's conjecture on the biequivalence between (colored) properads and labelled cospan categories. The main part of the work is to establish a 1-categorical, stri…
Skeleta and categories of algebras
Jonathan Beardsley, Tyler Lawson
We define a notion of a connectivity structure on an -category, analogous to a -structure but applicable in unstable contexts -- such as spaces, or algebras over an oper…
Koszul Duality in Higher Topoi
Jonathan Beardsley, Maximilien Péroux
We show that there is an equivalence in any -topos between the pointed and -connective objects of and the -group objects of the $(n-…
On Bialgebras, Comodules, Descent Data and Thom Spectra in -categories
Jonathan Beardsley
This paper lays some of the foundations for working with not-necessarily-commutative bialgebras and their categories of comodules in -categories. We prove that the categori…
The Operadic Nerve, Relative Nerve, and the Grothendieck Construction
Jonathan Beardsley, Liang Ze Wong
We relate the relative nerve of a diagram of simplicial sets with the Grothendieck construction …
The Enriched Grothendieck Construction
Jonathan Beardsley, Liang Ze Wong
We define and study opfibrations of -enriched categories when is an extensive monoidal category whose unit is terminal and connected. This includes sets, simplicial sets, ca…
Toward a Galois theory of the integers over the sphere spectrum
Jack Morava, Jonathan Beardsley
Recent work in higher algebra allows the reinterpretation of a classical description of the Eilenberg-MacLane spectrum as a Thom spectrum, in terms of a kind of deriv…
A User's Guide: Relative Thom Spectra via Operadic Kan Extensions
Jonathan Beardsley
This is an expository paper about the paper Relative Thom Spectra via Operadic Kan Extensions.
Topological Hochschild homology of X(n)
Jonathan Beardsley
We show that Ravenel's spectrum is the versal --algebra of characteristic . This implies that every --algebra of characteristic admits an -ri…
A Theorem on Multiplicative Cell Attachments with an Application to Ravenel's X(n) Spectra
Jonathan Beardsley
We show that the homotopy groups of a connective -ring spectrum with an -cell attached along a class in degree are isomorphic to the homotopy groups of the cofibe…
Relative Thom Spectra Via Operadic Kan Extensions
Jonathan Beardsley
We show that a large number of Thom spectra, i.e. colimits of morphisms , can be obtained as iterated Thom spectra, i.e. colimits of morphisms $BG\to BGL_1…
Some Higher Coalgebra
Jonathan Beardsley
We define quasicategories of E_n-structured coalgebras, bialagebras and comodules. We show that: n-fold loop spaces, suspension spectra thereof, descent data for maps of E_n-ring s…
A Sheaf of Boehmians
Jonathan Beardsley, Piotr Mikusinski
We show that Boehmians defined over open sets of constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over a top…