3 papers
math.AT2026
Quasimonophobic graphs and degree spectral sequences in discrete cubical homology
Samira Sahar Jamil, Mark Behrens
We introduce the degree filtration on the discrete cubical chain complex of a graph, defined in terms of the maximal injective dimension of the facets of singular -cubes, and st…
math.AT2017
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…
math.AT2017
On the E2-term of the bo-Adams spectral sequence
Agnes Beaudry, Mark Behrens, Prasit Bhattacharya +2
The E_1-term of the (2-local) bo-based Adams spectral sequence for the sphere spectrum decomposes into a direct sum of a v_1-periodic part, and a v_1-torsion part. Lellmann and Mah…