Relations in the modulo 2 homology of framed disks algebras

Abstract

We study the homology structure of spaces having an action of the \emph{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 ${\Omega }^2{S}^3$ 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.

References in corpus (2)

• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• String topology for spheres