activity
20092026
most citedDiagram spaces, diagram spectra, and spectra of units

29 citations · 56 across the 8 of their papers we have counts for

collaborators

10 papers

math.CO2026

On the eigenvalues of cyclic covers of Paley graphs

Natalie Dinin, John A. Lind

We study covering graphs of the Paley graph associated to a finite field of characteristic p in the case where the covering transformation group is cyclic of prime order distinct f…

math.AT2020★ 2 cited

-theory of endomorphisms, the -trace, and zeta functions

Jonathan A. Campbell, John A. Lind, Cary Malkiewich +2

We show that the characteristic polynomial and the Lefschetz zeta function are manifestations of the trace map from the -theory of endomorphisms to topological restriction homol…

math.AT2020★ 1 cited

Spectral Waldhausen categories, the -construction, and the Dennis trace

Jonathan A. Campbell, John A. Lind, Cary Malkiewich +2

We give an explicit point-set construction of the Dennis trace map from the -theory of endomorphisms to topological Hochschild homology $\mathrm{THH…

math.AT2017

The Morita equivalence between parametrized spectra and module spectra

John A. Lind, Cary Malkiewich

We give a Quillen equivalence between May and Sigurdsson's model category of parametrized spectra over BG, and Mandell, May, Schwede, and Shipley's model category of modules over t…

math.AT2016

The transfer map of free loop spaces

John A. Lind, Cary Malkiewich

For any perfect fibration , there is a "free loop transfer map" , defined using topological Hochschild homology. We prove that this transfer…

math.AT2016★ 8 cited

Twisted iterated algebraic K-theory and topological T-duality for sphere bundles

John A. Lind, Hisham Sati, Craig Westerland

We introduce a periodic form of the iterated algebraic K-theory of ku, the (connective) complex K-theory spectrum, as well as a natural twisting of this cohomology theory by higher…

math.AT2015★ 14 cited

Infinite loop spaces and nilpotent K-theory

Alejandro Adem, José Manuel Gómez, John A. Lind +1

Using a construction derived from the descending central series of the free groups, we produce filtrations by infinite loop spaces of the classical infinite loop spaces , …

math.AT2015

Uniqueness of BP<n>

Vigleik Angeltveit, John A. Lind

Fix a prime number p and a non-negative integer n. We prove that if a p-complete spectrum X satisfying a mild finiteness condition has the same mod p cohomology as BP<n> as a modul…

math.AT2013★ 2 cited

Bundles of spectra and algebraic K-theory

John Lind

A parametrized spectrum E is a family of spectra E_x continuously parametrized by the points x of a topological space X. We take the point of view that a parametrized spectrum is a…

math.AT2009★ 29 cited

Diagram spaces, diagram spectra, and spectra of units

John Lind

This article compares the infinite loop spaces associated to symmetric spectra, orthogonal spectra, and EKMM S-modules. Each of these categories of structured spectra has a corresp…