The Hochschild cohomology of a Poincaré algebra

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dc.creatorHu, Po
dc.date2007-07-27
dc.date.accessioned2026-07-07T08:20:44Z
dc.date.available2026-07-07T08:20:44Z
dc.descriptionIn this note, we define the notion of a cactus set, and show that its geometric realization is naturally an algebra over Voronov's cactus operad, which is equivalent to the framed 2-dimensional little disks operad $\mathcal{D}_2$. Using this, we show that the Hochschild cohomology of a Poincaré algebra A is an algebra over (the chain complexes of) $\mathcal{D}_2$.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0707.4118
dc.identifierhttp://arxiv.org/abs/0707.4118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135153
dc.subjectAlgebraic Topology
dc.subject55P48 (primary), 16E40 (secondary)
dc.titleThe Hochschild cohomology of a Poincaré algebra
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