Batalin-Vilkovisky algebras and the J-homomorphism

Gerald Gaudens, Luc Menichi

Let X be a topological space. The homology of the iterated loop space $H_{\ast }{\Omega }^{n}X$ is an algebra over the homology of the framed n-disks operad $H_{\ast }f{\mathcal{D}}_n$ \cite{Getzler:BVAl…