18 citations · 28 across the 7 of their papers we have counts for
6 papers · 1 filter
Spectral enrichments of model categories
Daniel Dugger
We prove that every stable, combinatorial model category has a natural enrichment by symmetric spectra (or more precisely, a natural equivalence class of enrichments). This in some…
Notes on the Milnor conjectures
Daniel Dugger
These are some notes on the two Milnor conjectures and their proofs (due to Voevodsky, Orlov-Vishik-Voevodsky, and Morel).
Algebraic K-theory and sums-of-squares formulas
Daniel Dugger, Daniel C. Isaksen
We prove a result about the non-existence of certain sums-of-squares formulas over a field. This generalizes an old theorem which used topological K-theory to obtain obstruction co…
Multiplicative structures on homotopy spectral sequences II
Daniel Dugger
The paper summarizes the construction of pairings on some standard spectral sequences in algebraic topology.
Multiplicative structures on homotopy spectral sequences I
Daniel Dugger
This mostly expository paper records some basic facts about towers of homotopy fiber sequences. We give a proof that a pairing of towers induces a pairing of associated spectral se…
An Atiyah-Hirzebruch spectral sequence for KR-theory
Daniel Dugger
We construct a spectral sequence for computing KR-theory, analogous to the spectral sequence relating motivic cohomology to algebraic K-theory.