2024/02/01 by Federico Cantero-Morán, Cantero-Morán, Federico, Anibal M. Medina-Mardones +1 · 1 citation
Mathematics · Physics and Astronomy · #55N31 #55P42 #55R37 #55S05 #55U30 #Advanced Mathematical Theories and Applications #Algebraic Topology (math.AT) #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.2402.00826
openalex publication_date 2024/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce a structure termed ``connected cyclic diagonal'' on a chain complex, which induces stable power operations in its cohomology with the property that negative power operations consistently vanish. This chain level structure is useful to represent power operations for spectra, whose cohomology lacks a cup product. Using a Poincaré duality algebra structure on the integral chains of the standard augmented simplex, we provide an effective method for the construction of cyclic diagonals on a broad class of augmented simplicial objects.