3 papers
math.AT2026
On the Gap Between the Co-Indices of a Free Z_2-Space and Its Suspension
Hamid Reza Daneshpajouh
For a free -space , the co-index is the largest integer for which there exists a -equivariant map , where ca…
math.CO2026
The mapping index through the lens of the cross-index
Vuong Bui, Hamid Reza Daneshpajouh, Roman Karasev
We study the cross-index of free \(G\)-posets as a combinatorial analogue of the equivariant topological index. We demonstrate that the cross-index exhibits many structural propert…
math.CO2025
On the Chromatic Number of Stable Kneser Hypergraphs: Verifying the Conjecture for New Families
Hamid Reza Daneshpajouh
One of the key unsolved conjectures in hypergraph coloring is about the chromatic number of -stable -uniform Kneser hypergraphs . The pr…