2018/01/10 by Cihan Bahran, Bahran, Cihan · 1 citation
Mathematics · #Advanced Topics in Algebra #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1801.03302
openalex publication_date 2018/01/10 · openalex created_date 2018/01/26 · openalex updated_date 2026/07/28
Recently, Church-Miller-Nagpal-Reinhold [arXiv:1706.03845] obtained linear stable ranges for the integral cohomology of ordered configuration spaces, in the sense of representation stability. We note that the constants in these linear stable ranges can be further improved for an orientable manifold of dimension at least 3. The idea is to simply exploit the sparsity of Totaro's spectral sequence.