The Hochschild Cohomology of a Poincaré Algebra

نویسنده

  • PO HU
چکیده

In this note, we define the notion of a cactus set, and show that its geometric realization has a natural structure as an algebra over Voronov’s cactus operad, which is equivalent to the framed 2-dimensional little disks operad D2. Using this, we show that for a Poincaré algebra A, its Hochschild cohomology is an algebra over the (chain complexes of) D2.

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تاریخ انتشار 2008