39 citations · 112 across the 13 of their papers we have counts for
14 papers
The 2-primary Hurewicz image of tmf
Mark Behrens, Mark Mahowald, J. D. Quigley
We determine the image of the 2-primary tmf-Hurewicz homomorphism, where tmf is the spectrum of topological modular forms. We do this by lifting elements of tmf_* to the homotopy g…
Detecting exotic spheres in low dimensions using coker J
Mark Behrens, Michael Hill, Michael J. Hopkins +1
Building off of the work of Kervaire and Milnor, and Hill, Hopkins, and Ravenel, Xu and Wang showed that the only odd dimensions n for which S^n has a unique differentiable structu…
On the periodic -self-map of
Prasit Bhattacharya, Philip Egger, Mark Mahowald
We prove that the minimal self-map of the 2-local spectrum is 32 periodic.
On Hopkins' Picard groups for the prime 3 and chromatic level 2
Paul Goerss, Hans-Werner Henn, Mark Mahowald +1
We give a calculation of Picard groups of K(2)-local invertible spectra and of E(2)-local invertible spectra, both at the prime 3. The main contribution of this paper is to calcula…
The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2
Paul G. Goerss, Hans-Werner Henn, Mark Mahowald
We calculate the rational homotopy and the K(1)-local homotopy of the K(2)-local sphere at the prime 3 and level 2. We use this to verify the chromatic splitting conjecture in this…
A Filtration of Unoriented Cobordism
Mehdi Khorami, Mark Mahowald
We give a filtration of the unoriented cobordism ring using the infinite symplectic group, with polynomial generators given one at a time. The generating manifolds are also constru…