39 citations · 112 across the 13 of their papers we have counts for
4 papers · 2 filters
On the existence of a v_2^32-self map on M(1,4) at the prime 2
Mark Behrens, Michael Hill, Michael J. Hopkins +1
Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v_1-self map v_1^4: Sigma^8 M(1) -> M(1). Let M(1,4) be the cofiber of this self-map. The purpose…
A resolution of the K(2)-local sphere at the prime 3
P. Goerss, H. -W. Henn, M. Mahowald +1
We develop a framework for displaying the stable homotopy theory of the sphere, at least after localization at the second Morava K-theory K(2). At the prime 3, we write the spectru…
Nonimmersions of RP^n implied by tmf, revisited
Donald M. Davis, Mark Mahowald
In a 2002 paper, the authors and Bruner used the new spectrum tmf to obtain some new nonimmersions of real projective spaces. In this note, we complete/correct two oversights in th…
Immersions of RP^{2^e-1}
Donald M. Davis, Giora Dula, Jesus Gonzalez +1
We prove that RP^{2^e-1} can be immersed in R^{2^{e+1}-e-7} provided e>6. If e>13, this is 1 better than previously known immersions. Our method is primarily an induction on geomet…