18 citations · 28 across the 7 of their papers we have counts for
4 papers · 1 filter
The Hopf condition for bilinear forms over arbitrary fields
Daniel Dugger, Daniel C. Isaksen
We settle an old question about the existence of certain "sums-of-squares" formulas over a field F (which are the simplest examples of composition formulas for quadratic forms). A…
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.