2013/07/11 by Gérald Gaudens, Gaudens, Gérald
Mathematics · #55P35 (primary) #55S12 (secondary) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P35 #msc:55S12
paper · pdf · doi:10.48550/arxiv.1307.3148
arxiv created 2013/07/11 · openalex publication_date 2013/07/11 · arxiv updated 2013/07/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the homology structure of spaces having an action of the framed disks operad. In particular, we compute the relations between Kudo-Araki operations and generalized Batalin-Vilkovisky operators. As an application, we complete the computations of the modulo 2 homology of Ω2 S3 as a Batalin-Vilkovisky algebra, and give some evidence for a classical conjecture about the modulo 2 Hurewicz homomorphism of the infinite loop space of the sphere spectrum.