3 papers
math.GR2026
Essential quotients of the cohomology of products of symmetric and alternating groups
Dana Hunter, Dev Sinha
We calculate the quotient of the mod-two cohomology of a product of symmetric and alternating groups by the ideal of negligible elements, namely those that restrict trivially to an…
math.AT2024
A prop structure on partitions
Coline Emprin, Dana Hunter, Muriel Livernet +2
Motivated by its link with functor homology, we study the prop freely generated by the operadic suspension of the operad Com. We exhibit a particular family of generators, for whic…
math.AT2021
The Curtis-Wellington spectral sequence through cohomology
Dana Hunter
We study stable homotopy through unstable methods applied to its representing infinite loop space, as pioneered by Curtis and Wellington. Using cohomology instead of homology, we f…