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Hochschild cohomology of intersection complexes and Batalin-Vilkovisky algebras
Let be a compact, oriented, second countable pseudomanifold. We show that
, the Hochschild
cohomology of the blown-up intersection cochain complex of , is well defined
and endowed with a Batalin-Vilkovisky algebra structure. Furthermore, we prove
that it is a topological invariant. More generally, we define the Hochschild
cohomology of a perverse differential graded algebra and present a
natural Gerstenhaber algebra structure on it. This structure can be extended
into a Batalin-Vilkovisky algebra when is a derived Poincar\'e
duality algebra.Comment: 71 page