2024/05/02 by Ruiz, Carlos Gabriel Valenzuela · 1 citation
#13F55 (Secondary) #55U10 (Primary) 05E45 #Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2405.00990
We study the double homology associated to triangulated spheres and present two results. First, we explicitly compute the double homology for minimum degree sphere triangulations. Using a spectral sequence argument, we compute the effect of removing a maximal simplex of a non-neighborly sphere triangulation. Using these results and computational aid we generate complexes with exotic double homology rank. We also relate the double homology of a complex with how neighborly it is.