Batalin-Vilkovisky algebras and the J-homomorphism
| dc.creator | Gaudens, Gerald | |
| dc.creator | Menichi, Luc | |
| dc.date | 2007-07-20 | |
| dc.date.accessioned | 2026-07-07T08:19:25Z | |
| dc.date.available | 2026-07-07T08:19:25Z | |
| dc.description | Let X be a topological space. The homology of the iterated loop space $H_*Ω^n X$ is an algebra over the homology of the framed n-disks operad $H_*f\mathcal{D}_n$ \cite{Getzler:BVAlg,Salvatore-Wahl:FrameddoBVa}. We determine completely this $H_*f\mathcal{D}_n$-algebra structure on $H_*(Ω^n X;\mathbb{Q})$. We show that the action of $H_*(SO(n))$ on the iterated loop space $H_*Ω^n X$ is related to the J-homomorphism and that the BV-operator vanishes on spherical classes only in characteristic other than 2. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0707.3103 | |
| dc.identifier | http://arxiv.org/abs/0707.3103 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134756 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Group Theory | |
| dc.subject | Geometric Topology | |
| dc.subject | History and Overview | |
| dc.title | Batalin-Vilkovisky algebras and the J-homomorphism | |
| dc.type | text |